| Index |
Publication |
Preprint |
| [I-101] |
Y. Giga, A. Mahalov and T. Yoneda, On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data, J. Math. Fluid Mech. 13 (2011), 459–467. |
<preprint: HUPSM #952 (2009)> |
| [I-102] |
Y. Giga, Y. Seki and N. Umeda, On a decay rate of quenching profile at space infinity for axisymmetric mean curvature flow, Discrete and Continuous Dynamical Systems 29 (2011), 1463-1470. |
<preprint: HUPSM #945 (2009)> |
| [I-103] |
Y. Giga, P. Górka and P. Rybka, A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians, Proc. Amer. Math. Soc. 139 (2011), 1777–1785. |
<preprint: HUPSU #955 (2010)> |
| [I-104] |
Y. Giga and H. Miura, On vorticity directions near singularities for the Navier-Stokes flows with infinite energy, Comm. Math. Phys. 303 (2011), 289–300. |
<preprint: HUPSM #956 (2010)> |
| [I-105] |
M.-H. Giga and Y. Giga, Very singular diffusion equations - second and fourth order problems, Japanese J. Ind. Appl. Math., 27 (2010), 323-345. |
<preprint: HUPSM #960 (2010)> |
| [I-106] |
Y. Giga and R. V. Kohn, Scale-invariant extinction time estimates for some singular diffusion equations, Discrete Contin. Dyn. Syst. 30 (2011), 509–535. |
<preprint: HUPSM #963 (2010)> |
| [I-107] |
Y. Giga, N. Mizoguchi and T. Senba, Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type, Arch. Ration. Mech. Anal. 201 (2011), 549–573 |
<preprint: HUPSM #968 (2010)> |
| [I-108] |
Y. Giga, Q. Liu and H. Mitake, Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 366 (2014), 1905-1941. |
<preprint: HUPSM #971 (2010)> |
| [I-109] |
Y. Giga, Q. Liu and H. Mitake, Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians, J. Differential Equations 252 (2012), 1263–1282. |
<preprint: HUPSM #973 (2011)> |
| [I-110] |
Y. Giga and J. Saal, An approach to rotating boundary layers based on vector Radon measures, J. Math. Fluid Mech., 15 (2013), 89-127. |
<preprint: HUPSM #977 (2011)> |
| [I-111] |
K. Abe and Y. Giga, Analyticity of the Stokes semigroup in spaces of bounded functions, Acta Math. 211 (2013), 1-46. |
<preprint: HUPSM #980 (2011)> |
| [I-112] |
M.-H. Giga, Y. Giga and P. Rybka, A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs, Arch. Ration. Mech. Anal. 211 (2014), 419–453.
Erratum: 212 (2014), 707. |
<preprint: HUPSM #981 (2011)> |
| [I-113] |
Y. Giga and N. Hamamuki, Hamilton-Jacobi equations with discontinuous source terms, Commun. Partial Differential Equations 38 (2013), 199-243. |
<preprint: HUPSM #987 (2011)> |
| [I-114] |
Y. Giga, N. Hamamuki and A. Nakayasu, Eikonal equations in metric spaces, Trans. Amer. Math. Soc. 367 (2015), 49-66. |
<preprint: HUPSM #991 (2011)> |
| [I-115] |
Y. Giga, P. Górka and P. Rybka, Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term, Adv. Differential Equations, 18 Numbers 3-4 (2013), 201-242. |
<preprint: HUPSM #993 (2011)> |
| [I-116] |
M.-H. Giga, Y. Giga, T. Ohtsuka and N. Umeda, On behavior of signs for the heat equation and a diffusion method for data separation, Comm. Pure Appl. Anal. 12 (2013), 2277-2296. |
<preprint: HUPSM #988 (2012)> |
| [I-117] |
T. Eto, Y. Giga and K. Ishii, An area-minimizing scheme for anisotropic mean-curvature flow, Adv. Differential Equations, 17 (2012), 1031-1084. |
<preprint: HUPSM #1009 (2012)> |
| [I-118] |
K. Abe and Y. Giga, The $L^{\infty}$-Stokes semigroup in exterior domains, J. Evol. Equ., 14 (2014), 1-28. |
<preprint: HUPSM #1011 (2012)> |
| [I-119] |
M.-H. Giga and Y. Giga, On the role of kinetic and interfacial anisotropy in the crystal growth theory, Interfaces and Free Boundaries 15 (2013), 429-450. |
<preprint: HUPSM #1019 (2012)> |
| [I-120] |
K. Abe, Y. Giga and M. Hieber, Stokes resolvent estimates in spaces of bounded functions, Annales scientifiques de l'É.N.S. 48 (2015), 537-559. |
<preprint: HUPSM #1022 (2012)> |
| [I-121] |
T. Ohtsuka, T.-H. R. Tsai and Y. Giga, A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces, Journal of Scientific Computing 62 (2015), 831-874. |
<preprint: HUPSM #1025 (2013)> |
| [I-122] |
M.-H. Giga, Y. Giga and N. Pozar, Periodic total variation flow of non-divergence type in $\mathbb{R}^n$, J. Math. Pures Appl. 102 (2014), 203-233. |
<preprint: HUPSM #1028 (2013)> |
| [I-123] |
Y. Giga and J. Saal, Uniform exponential stability of the Ekman spiral, Arkiv för Matematik 53 (2015) 105-126. |
<preprint: HUPSM #1033 (2013)> |
| [I-124] |
M.-H. Giga, Y. Giga and N. Pozar, Anisotropic total variation flow of non-divergence type on a higher dimensional torus, Adv. Math. Sci. Appl. 23 (2013), 235-266. |
<preprint: HUPSM #1034 (2013)> |
| [I-125] |
T. Asai and Y. Giga, On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions, Interfaces and Free Boundaries 16 (2014), 539-573. |
<preprint: HUPSM #1039 (2013)> |
| [I-126] |
Y. Giga, P.-Y. Hsu and Y. Maekawa, A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion, Comm. in Partial Differential Equations 39 (2014), 1906-1935. |
<preprint: HUPSM #1043 (2013)> |
| [I-127] |
Y. Giga and X. Xiang, Lorentz space estimates for vector fields with divergence and curl in Hardy spaces, Tamkang Journal of Mathematics, 47 (2016), 249-260. |
<preprint: HUPSM #1044 (2013)> |
| [I-128] |
Y. Giga, J. Sauer and K. Schade, Strong stability of 2D viscoelastic Poiseuille-type flows, Adv. Math. Sci. Appl. 27 (2018), 143-167. |
<preprint: HUPSM #1046 (2014)> |
| [I-129] |
Y. Giga and H. Kuroda, A counterexample to finite time stopping property for one-harmonic map flow, Comm. Pure Appl. Anal. 14 (2015), 121-125. |
<preprint: HUPSM #1048 (2014)> |
| [I-130] |
R. Farwig, Y. Giga and P.-Y. Hsu, Initial values for the Navier-Stokes equations in spaces with weights in time, Funkcialaj Ekvacioj 59 (2016), 199-216. |
<preprint: HUPSM #1060 (2014)> |
| [I-131] |
K. Abe, Y. Giga, K. Schade and T. Suzuki, On the Stokes semigroup in some non-Helmholtz domains, Arch. Math. (Basel), 104 (2015), 177-187. |
<preprint: HUPSM #1061 (2014)> |
| [I-132] |
Y. Giga, P. Górka and P. Rybka, Bent rectangles as viscosity solutions over a circle, Nonlinear Anal. 125 (2015), 518-549. |
<preprint: HUPSM #1062 (2014)> |
| [I-133] |
Y. Giga, S. Ibrahim, S. Shen and T. Yoneda, Global well posedness for a two-fluid model, Differential Integral Equations 31 (2018), 187-214. |
<preprint: HUPSM #1063 (2014)> |
| [I-134] |
Y. Giga, H. Kuroda and H. Matsuoka, Fourth-order total variation flow with Dirichlet condition: Characterization of evolution and extinction time estimates, Adv. Math. Sci. Appl. 24 (2014), 499-534. |
<preprint: HUPSM #1064 (2015)> |
| [I-135] |
M. Bolkart and Y. Giga, On L^\infty-BMO estimates for derivatives of the Stokes semigroup, Math. Z. 284 (2016), 1163-1183. |
<preprint: HUPSM #1067 (2015)> |
| [I-136] |
M. Endo, Y. Giga, D. Götz and C. Liu, Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid, J. Math. Fluid Mech. 19 (2017), 17-45. |
<preprint: HUPSM #1068 (2015)> |
| [I-137] |
R. Farwig and Y. Giga, Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness, Hokkaido Mathematical Journal 47 (2018), 373-385. |
<preprint: HUPSM #1077 (2015)> |
| [I-138] |
M. Bolkart, Y. Giga and T. Suzuki, Analyticity of the Stokes semigroup in $BMO$-type spaces, J. Math. Soc. Japan 70 (2018), 153-177. |
<preprint: HUPSM #1078 (2015)> |
| [I-139] |
M. Bolkart, Y. Giga, T.-H. Miura, T. Suzuki and Y. Tsutsui, On analyticity of the $L^p$-Stokes semigroup for some non-Helmholtz domains, Math. Nachr., 290 (2017), 2524-2546. |
<preprint: HUPSM #1082 (2015)> |
| [I-140] |
K. Abe, Y. Giga, K. Schade and T. Suzuki, On the Stokes resolvent estimates for cylindrical domains, J. Evol. Eq., 17 (2017) 17-49. |
<preprint: HUPSM #1081 (2015)> |
| [I-141] |
Y. Giga, H. Mitake and H. V. Tran, On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms, SIAM J. Math. Anal. 48 (2016), 3515-3546. |
<preprint: HUPSM #1084 (2015)> |
| [I-142] |
Y. Giga and N. Pozar, A level set crystalline mean curvature flow of surfaces, Adv. Differential Equations, 21 (2016), 631-698. |
<preprint: HUPSM #1087 (2016)> |
| [I-143] |
M. Bolkart, Y. Giga, T. Suzuki and Y. Tsutsui, Equivalence of $BMO$-type norms with applications to the heat and Stokes semigroup, Potential Anal. 49 (2018), 105-130. |
<preprint: HUPSM #1090 (2016)> |
| [I-144] |
R. Farwig, Y. Giga and P.-Y. Hsu, The Navier-Stokes equations with initial values in Besov spaces of type $B^{-1+3/q}_{q,\infty}$, J. Korean Math. Soc. 54 (2017), 1483-1504. |
<preprint: HUPSM #1092 (2016)> |
| [I-145] |
R. Farwig, Y. Giga and P.-Y. Hsu, On the continuity of the solutions to the Navier–Stokes equations with initial data in critical Besov spaces, Ann. Mat. Pura Appl., 198 (2019), 1495-1511. |
<preprint: HUPSM #1093 (2016)> |
| [I-146] |
H. Koba, C. Liu and Y. Giga, Energetic variational approaches for incompressible fluid systems on an evolving surface, Quart. Appl. Math., 75 (2017), 359-389.
Errata: 76 (2018), 147-152. |
|
| [I-147] |
Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara, Bounded $H^\infty$-calculus for the hydrostatic Stokes operator on $L^p$ spaces and applications, Proc. Amer. Math. Soc. 145 (2017), 3865-3876. |
|
| [I-148] |
Y. Giga and N. Kajiwara, On a resolvent estimate for bidomain operators and its applications, J. Math. Anal. Appl. 459 (2018), 528-555. |
<preprint: HUPSM #1096 (2016)> |
| [I-149] |
Y. Giga and T. Namba, Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative, Comm. in Partial Differential Equations 42 (2017), 1088-1120. |
<preprint: HUPSM #1098 (2016)> |
| [I-150] |
T. Ohtsuka, Y.-H. R. Tsai and Y. Giga, Growth rate of crystal surfaces with several dislocation centers, Cryst. Growth Des. 18 (2018), 1917-1929. |
<preprint: HUPSM #1099 (2017)> |
| [I-151] |
Y. Giga and N. Pozar, Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to the crystalline mean curvature flow, Comm. Pure Appl. Math. 71 (2018), 1461-1491. |
<preprint: HUPSM #1100 (2017)> |
| [I-152] |
T.-H. Miura, Y. Giga and C. Liu, An energetic variational approach for nonlinear diffusion equations in moving thin domains, Adv. Math. Sci. Appl. 27 (2018), 115-141.
|
<preprint: HUPSM #1101 (2017)> |
| [I-153] |
Y. Giga, M. Muszkieta and P. Rybka, A duality based approach to the minimizing total variation flow in the space H^{-s}, Jpn. J. Ind. Appl. Math. 36 (2019), 261-286. |
<preprint: HUPSM #1102 (2017)> |
| [I-154] |
Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara, The primitive equations in the scaling invariant space $L^\infty(L^1)$. |
<preprint: HUPSM #1104 (2017)> |
| [I-155] |
Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara, Analyticity of solusions to the primitive equations, Math. Nachr., online (2019), 1-21. |
<preprint: HUPSM #1106 (2017)> |
| [I-156] |
Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara, The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. |
<preprint: HUPSM #1109 (2018)> |
| [I-157] |
Y. Giga and N. Hamamuki, On a dynamic boundary condition for singular degenerate parabolic equations in a half space, Nonlinear Differ. Equ. Appl. (2018) 25:51. |
<preprint: HUPSM #1110 (2018)> |
| [I-158] |
K. Furukawa, Y. Giga, M. Hieber, A. Hussein, T. Kashiwabara and M. Wrona, Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. |
<preprint: HUPSM #1112 (2018)> |
| [I-159] |
Y. Giga, H. Mitake, T. Ohtsuka and H. V. Tran, Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations, Indiana Univ. Math. J., to appear. |
<preprint: HUPSM #1113 (2018)> |
| [I-160] |
Y. Giga, N. Kajiwara and K. Kress, Strong time-periodic solutions to the bidomain equations with arbitrary large forces, Nonlinear Anal. Real World Appl. 47 (2019), 398-413. |
<preprint: HUPSM #1114 (2018)> |
| [I-161] |
Y. Giga, H. V. Tran and L. Zhang, On obstacle problem for mean curvature flow with driving force, Geom. Flows 4 (2019), 9-29. |
<preprint: HUPSM #1116 (2018)> |
| [I-162] |
Y. Giga, F. Onoue and K. Takasao, A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions. |
<preprint: HUPSM #1117 (2018)> |
| [I-163] |
Y. Giga, R. Nakayashiki, P. Rybka and K. Shirakawa, On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. |
<preprint: HUPSM #1120 (2019)> |
| [I-164] |
Y. Giga, Q. Liu and H. Mitake, On a discrete scheme for time fractional fully nonlinear evolution equations, Asymptot. Anal., Pre-press (2019), 1-12. |
<preprint: HUPSM #1122 (2019)> |
| [I-165] |
Y. Giga, K. Sakakibara, K. Taguchi and M. Uesaka, A new numerical scheme for constrained total variation flows and its convergence. |
<preprint: HUPSM #1124 (2019)> |
| [I-166] |
Y. Giga, Z. Gu and P.-Y. Hsu, Continuous alignment of vorticity direction prevents the blow-up of the navier-stokes flow under the no-slip boundary condition, Nonlinear Anal. 189 (2019), 111579. |
<preprint: HUPSM #1125 (2019)> |
| [I-167] |
Y. Giga and Y. Ueda, Numerical computations of split Bregman method for fourth order total variation flow, J. Comput. Phys. 405 (2020), 109114. |
<preprint: HUPSM #1127 (2019)> |
| [I-168] |
Y. Giga, H. Mitake and H. V. Tran, Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms, Discrete Contin. Dyn. Syst. Ser. B, Online First (2019). |
<preprint: HUPSM #1128 (2019)> |
