2009年

Index

Publication

Preprint

[I-91]

Y. Giga and J. Zhai, Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $S^2$ in $R^3$, Advances in Differential Equations, 14 (2009), 601-619.

<preprint: HUPSM #794 (2006)>

[I-95]

Y. Giga and P. Rybka, Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term, J. Differential Equations, 246 (2009), 2264-2303.
DOI:10.1016/j.jde.2009.01.009

<preprint: HUPSM #889 (2008)>

[I-97]

Y. Giga and Q. Liu, A billiard-based game interpretation of the Neumann problem for the curve shortening equation, Adv. Diff. Eq. 14 (2009), 201-240.

<preprint: HUPSM #922 (2008)>

[I-100]

Y. Giga, Y. Seki and N. Umeda, Mean curvature flow closes open ends of noncompact surface of rotation, Comm. Partial Differential Equations, 34 (2009), 1508-1529.
DOI:10.1080/03605300903296926

<preprint: HUPSM #938 (2009)>

2010年

Index

Publication

Preprint

[I-99]

Y. Giga, P. Górka and P. Rybka, Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary, Discrete and Continuous Dynamical Systems, 26 (2010), 493-519.
DOI:10.3934/dcds.2010.26.493

<preprint: HUPSM #933 (2009)>

[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.
DOI:10.1007/s13160-010-0020-y

<preprint: HUPSM #960 (2010)>

[V-8]

M.-H. Giga, Y. Giga and J. Saal, ``Nonlinear Partial Differential Equations. Asymptotic Behavior of Solutions and Self-Similar Solutions", Progress in Nonlinear Differential Equations and their Applications, 79. Birkhäuser, Boston-Basel-Berlin, xviii+294pp (2010).

2011年

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), no. 3, 459–467.
DOI:10.1007/s00021-010-0030-1

<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.
DOI:10.3934/dcds.2011.29.1463

<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), no. 5, 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), no. 2, 289–300.
DOI:10.1007/s00220-011-1197-x

<preprint: HUPSM #956 (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), no. 2, 509–535.
DOI:10.3934/dcds.2011.30.509

<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), no. 2, 549–573
DOI:10.1007/s00205-010-0394-7

<preprint: HUPSM #968 (2010)>

[II-48]

Y. Giga and J. Saal, $L^1$-maximal regularity for the Laplacian and applications, Discrete and Continuous Dynamical Systems, supplement 2011 (2011), 495-504.
DOI:10.3934/proc.2011.2011.495

<preprint: HUPSM #965 (2010)> 

2012年

Index

Publication

Preprint

[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), no. 2, 1263–1282.
DOI:10.1016/j.jde.2011.10.010

<preprint: HUPSM #973 (2011)>

[I-117]

T. Eto, Y. Giga and K. Ishii, An area-minimizing scheme for anisotropic mean-curvature flow, Advances in Differential Equations, 17, Numbers 11-12 (2012), 1031-1084.

<preprint: HUPSM #1009 (2012)>

[IV-21]

T. Eto, Y. Giga and K. Ishii，An area minimizing scheme for anisotropic mean curvature flow, Proc. Japan Acad., Ser. A, 88 (2012), 7-10.
DOI:10.3792/pjaa.88.7

2013年

Index

Publication

Preprint

[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 Mathematica 211 (2013), no. 1, 1–46.
DOI:10.1007/s11511-013-0098-6

<preprint: HUPSM #980 (2011)>

[I-113]

Y. Giga and N. Hamamuki, Hamilton-Jacobi equations with discontinuous source terms, Commun. Partial Differential Equations 38 (2013), 199-243.
DOI:10.1080/03605302.2012.739671

<preprint: HUPSM #987 (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, Advances in 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 Issue 5 (2013), 2277-2296.
DOI:10.3934/cpaa.2013.12.2277

<preprint: HUPSM #988 (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.
DOI:10.4171/IFB/309

<preprint: HUPSM #1019 (2012)>

[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, No. 1 (2013), 235-266.

<preprint: HUPSM #1034 (2013)>

[II-49]

Y. Giga, A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations, Discrete and Continuous Dynamical Systems, Series S 6 (2013), 1277-1289.

<preprint: HUPSM #989 (2011)> 

[II-50]

Y. Giga and G. Pisante, On representation of boundary integrals involving the mean curvature for mean-convex domains, Proc. ERC Workshop on ``Geometric Partial Differential Equations" (eds. M. Novaga et al.), Centro di Ricerca Matematica Ennio De Giorgi (2013), 171-187.

<preprint: HUPSM #1031 (2013)>

[II-51]

M.-H. Giga, Y. Giga and A. Nakayasu, On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force, Proc. ERC Workshop on ``Geometric Partial Differential Equations" (eds. M. Novaga et al.), Centro di Ricerca Matematica Ennio De Giorgi (2013), 145-170.

<preprint: HUPSM #1032 (2013)>

[IV-22]

M.-H. Giga and Y. Giga，Ketshoseicho mondai to Kyotokui Kakusan Hoteishiki, Ijokakusan no Suri, RIMS Kôkyûroku (in Japanese) 1854 (2013), 33-56.

[IV-23]

M.-H. Giga, Y. Giga and N. Pozar, Nenseikai riron ni yoru Kyotokui Kakusan Hoteishiki no sugaku kaiseki, Ijokakusan no Suri, RIMS Kôkyûroku (in Japanese) 1854 (2013), 57-77.

2014年

（前半まで）

Index

Publication

Preprint

[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) no. 4, 1905-1941.
DOI:10.1090/S0002-9947-2013-05905-3

<preprint: HUPSM #971 (2010)>

[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), Issue 2, 419–453. Erratum: 212 (2014), 707.
DOI:10.1007/s00205-013-0676-y
Erratum: 10.1007/s00205-014-0720-6

<preprint: HUPSM #981 (2011)>

[I-122]

M.-H. Giga, Y. Giga and N. Pozar, Periodic total variation flow of non-divergence type in $R^n$, J. Math. Pures Appl. 102 (2014) 203-233.
DOI:10.1016/j.matpur.2013.11.007

<preprint: HUPSM #1028 (2013)>