| Index |
Publication |
Preprint |
| [I-57] |
Y. Giga and M.-H. Sato, A level set approach to semicontinuous viscosity solutions for Cauchy problems, Comm. in Partial Differential Equations, 26 (5 & 6) (2001), 813-839. |
<preprint: HUPSM #472 (1999)> |
| [I-58] |
M.-H. Giga and Y. Giga, Generalized motion by nonlocal curvature in the plane, Arch. Rational Mech. Anal., 159 (2001), 295-333. |
<preprint: HUPSM #478 (2000)> |
| [I-59] |
Y. Giga, M. Paolini and P. Rybka, On the motion by singular interfacial energy, Japan J. Ind. Appl. Math., 18 (2001), 231-248. |
<preprint: HUPSM #498 (2000)> |
| [I-60] |
R. Kobayashi and Y. Giga, On anisotropy and curvature effects for growing crystals, Japan J. Ind. Appl. Math., 18 (2001), 207-230. |
<preprint: HUPSM #506 (2000)> |
| [I-61] |
Y. Giga, Viscosity solutions with shocks, Comm. Pure Appl. Math., 55 (2002), 431-480. |
<preprint: HUPSM #519 (2001)> |
| [I-62] |
M. Arisawa and Y. Giga, Anisotropic curvature flow in a very thin domain, Indiana Univ. Math. J., 52 (2003), 257-281. |
<preprint: HUPSM #495 (2000)> |
| [I-63] |
Y. Giga, S. Matsui and O. Sawada, Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity, J. Math. Fluid Mech., 3 (2001), 302-315. |
<preprint: HUPSM #503 (2000)> |
| [I-64] |
Y.-H. R. Tsai, Y. Giga and S. Osher, A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations, Math. Comp., 72 (2003), 159-181. |
<preprint: HUPSM #530 (2001)> |
| [I-65] |
Y. Giga, N. Ishimura and Y. Kohsaka, Spiral solutions for a weakly anisotropic curvature flow equation, Adv. Math. Sci. Appl., 12 (2002), 393-408. |
<preprint: HUPSM #529 (2001)> |
| [I-66] |
Y. Giga and P. Rybka, Quasi-static evolution of 3-D cryctals grown from supersaturated vapor, Differential and Integral Equations, 15 (2002), 1-15. |
<preprint: HUPSM #530 (2001)> |
| [I-67] |
J. Escher, Y. Giga and K. Ito, On a limiting motion and self-intersections for the intermediate surface diffusion flow, J. of Evolution Equations, 2 (2002), 349-364. |
<preprint: HUPSM #533 (2001)> |
| [I-68] |
C. M. Elliott, Y. Giga and S. Goto, Dynamic boundary conditions for Hamilton-Jacobi equations, SIAM J. Math. Anal., 34 (2003), 861-881. |
<preprint: HUPSM #546 (2001)> |
| [I-69] |
Y. Giga and P. Rybka, Berg's effect, Adv. Math. Sci. Appl., 13 (2003), 625-637. |
<preprint: HUPSM #553 (2002)> |
| [I-70] |
Y. Giga and O. Sawada, On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem, Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday. vol. I (2003), 549-562, Kluwer Acad. Publ., Dordrecht. |
<preprint: HUPSM #567 (2002)> |
| [I-71] |
Y. Giga, S. Matsui and S. Sasayama, Blow up rate for semilinear heat equations with subcritical nonlinearity, Indiana Univ. Math. J., 53 (2004), 483-514. |
<preprint: HUPSM #578 (2002)> |
| [I-72] |
Y. Giga and K. Yamada, On viscous Burgers-like equations with linearly growing initial data, Boletim da Sociedade Paranaense de Matemática 20 (2002), 29-49. |
<preprint: HUPSM #580 (2003)> |
| [I-73] |
Y. Giga and R. Kobayashi, On constrained equations with singular diffusivity, Methods and Applications of Analysis, 10 (2003), 253-278. |
<preprint: HUPSM #588 (2003)> |
| [I-74] |
Y. Giga, S. Matsui and S. Sasayama, On blow up rate for sign-changing solutions in a convex domain, Math. Methods. in Appl. Sciences, 27 (2004), 1771-1782. |
<preprint: HUPSM #594 (2003)> |
| [I-75] |
M. Bardi and Y. Giga, Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations, Comm. Pure Appl. Anal., 2 (2003), 447-459. |
<preprint: HUPSM #605 (2003)> |
| [I-76] |
Y. Giga and P. Rybka, Existence of self-similar evolution of crystals grown from super saturated vapor, Interfaces and Free Boundaries, 6 (2004), 405-421. |
<preprint: HUPSM #606 (2003)> |
| [I-77] |
Y. Giga, Y. Kashima and N. Yamazaki, Local solvability of a constrained gradient system of total variation, Abstract and Applied Analysis, 8 (2004), 651-682. |
<preprint: HUPSM #609 (2003)> |
| [I-78] |
H. Hontani, M.-H. Giga, Y. Giga and K. Deguchi, Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis, Discrete Appl. Math., 147 (2005), 265-285. |
<preprint: HUPSM #626 (2003)> |
| [I-79] |
M.-H. Giga, Y. Giga and H. Hontani, Self-similar expanding solutions in a sector for a crystalline flow, SIAM J. Math. Anal., 37 (2006), 1207-1226. |
<preprint: HUPSM #649 (2004)> |
| [I-80] |
Y. Giga and P. Rybka, Stability of facets of self-similar motion of a crystal, Advances in Differential Equations, 10 (2005), 601-634. |
<preprint: HUPSM #636 (2004)> |
| [I-81] |
Y. Giga, K. Inui, A. Mahalov and S. Matsui, Navier-Stokes equations in a rotating frame in $\mathbb{R}^3$ with initial data nondecreasing at infinity, Hokkaido Math. J., 35 (2006), 321-364. |
<preprint: HUPSM #664 (2004)> |
| [I-82] |
Y. Giga, M. Kubo and Y. Tonegawa, Magnetic clusters and fold energies, Proc. Royal Soc. Edinburgh Sect. A 137 (2007), 23-40. |
<preprint: HUPSM #666 (2004)> |
| [I-83] |
Y. Giga and N. Umeda, On blow up at space infinity for semilinear heat equations, J. Math. Anal. Appl., 316 (2006), 538-555. |
<preprint: HUPSM #670 (2004)> |
| [I-84] |
Y. Giga and P. Rybka, Stability of facets of crystals growing from vapor, Discrete Contin. Dyn. Syst., 14 (2006), 689-706. |
<preprint: HUPSM #679 (2004)> |
| [I-85] |
Y. Giga and M. Ohnuma, On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations, Int. J. Pure Appl. Math., 22 (2005), 165-184. |
<preprint: HUPSM #719 (2005)> |
| [I-86] |
Y. Giga, K. Inui, A. Mahalov and S. Matsui, Uniform local solvability for the Navier-Stokes equations with the Coriolis force, Methods Appl. Anal., 12 (2005), 381-393. |
<preprint: HUPSM #736 (2005)> |
| [I-87] |
Y. Giga, T. Ohtsuka and R. Schätzle, On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations, Interfaces and Free Boundaries, 8 (2006), 317-348. |
<preprint: HUPSM #738 (2005)> |
| [I-88] |
Y. Giga and N. Umeda, Blow-up directions at space infinity for solutions of semilinear heat equations, Bol. Soc. Parana. Mat (3), 23 (2005), 9-28; Correction: Bol. Soc. Parana. Mat. (3) 24 (2006), 19-24. |
<preprint: HUPSM #760 (2005)> |
| [I-89] |
Y. Giga, K. Inui, A. Mahalov, S. Matsui and J. Saal, Rotating Navier-Stokes equations in $\mathbb{R}^3_+$ with initial data nondecreasing at infinity : The Ekman boundary layer problem, Arch. Rational Mech. Anal., 186 (2007), 177-224. |
<preprint: HUPSM #761 (2005)> |
| [I-90] |
Y. Giga and P. Rybka, Facet bending in the driven crystalline curvature flow in the plane, J. Geometric Analysis, 18 (2008), 109-147. |
<preprint: HUPSM #763 (2005)> |
| [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-92] |
Y. Giga, K. Inui, A. Mahalov and J. Saal, Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets, Advances in Differential Equations, 12 (2007), 721-736. |
<preprint: HUPSM #795 (2006)> |
| [I-93] |
Y. Giga, H. Jo, A. Mahalov and T. Yoneda, On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data, Physica D, 237 (2008), 1422-1428. |
<preprint: HUPSM #860 (2007)> |
| [I-94] |
E. Yokoyama, Y. Giga and P. Rybka, A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation, Physica D, 237 (2008), 2845-2855. |
<preprint: HUPSM #885 (2007)> |
| [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. |
<preprint: HUPSM #889 (2008)> |
| [I-96] |
Y. Giga and N. Umeda, On instant blow-up for semilinear heat equations with growing initial data, Methods and Applications of Analysis, 15 (2008), 185-196. |
<preprint: HUPSM #916 (2008)> |
| [I-97] |
Y. Giga and Q. Liu, A billiard-based game interpretation of the Neumann problem for the curve shortening equation, Adv. Differential Equations, 14 (2009), 201-240. |
<preprint: HUPSM #922 (2008)> |
| [I-98] |
Y. Giga, K. Inui, A. Mahalov and J. Saal, Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data, Indiana Univ. Math. J., 57 (2008), 2775-2791. |
<preprint: HUPSM #924 (2008)> |
| [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. |
<preprint: HUPSM #933 (2009)> |
| [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. |
<preprint: HUPSM #938 (2009)> |
