| Index |
Publication |
Preprint |
| [I-1] |
Y. Giga, Analyticity of the semigroup generated by the Stokes operator in $L_r$ spaces, Math. Z., 178 (1981), 297-329. |
|
| [I-2] |
Y. Giga, Analyticity of the semigroup generated by the Stokes operator in $L_r$ spaces, Math. Z., 178 (1981), 297-329. |
|
| [I-3] |
Y. Giga and T. Miyakawa, A kinetic construction of global solutions of first order quasilinear equations, Duke Math. J., 50 (1983), 505-515. |
|
| [I-4] |
Z. Yoshida and Y. Giga, On the Ohm-Navier-Stokes system in magnetohydrodynamics, J. Math. Phys., 24 (1983), 2860-2864. |
|
| [I-5] |
Y. Giga, Y. Hashimoto and Y. Yamada, Parabolic equations with free boundary conditions, Funkcialaj Ekvacioj, 26 (1983), 263-279. |
|
| [I-6] |
Z. Yoshida and Y. Giga, A nonlinear semigroup approach to the Navier-Stokes system, Comm. in Partial Differential Equations, 9 (1984), 215-230. |
|
| [I-7] |
Y. Giga and Z. Yoshida, On the equations of the two-component theory in magnetohydrodynamics, Comm. in Partial Differential Equations, 9 (1984), 503-522. |
|
| [I-8] |
Y. Giga, Domains of fractional powers of the Stokes operator in $L_r$ spaces, Arch. Rational Mech. Anal., 89 (1985), 251-265. |
|
| [I-9] |
Y. Giga and T. Miyakawa, Solutions in $L_r$ of the Navier-Stokes initial value problem, Arch. Rational Mech. Anal., 89 (1985), 267-281. |
|
| [I-10] |
Y. Giga, T. Miyakawa and S. Oharu, A kinetic approach to general first order quasilinear equations, Trans. Amer. Math. Soc., 287 (1985), 723-743. |
|
| [I-11] |
Y. Giga and R. V. Kohn, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math., 38 (1985), 297-319. |
|
| [I-12] |
Y. Giga, Solutions for semilinear parabolic equations in $L^p$ and regularity of weak solutions of the Navier-Stokes system, J. Differential Equations, 62 (1986), 186-212. |
|
| [I-13] |
Y. Giga, A bound for global solutions of semilinear heat equations, Comm. Math. Phys., 103 (1986), 415-421. |
|
| [I-14] |
Y. Giga, On elliptic equations related to self-similar solutions for nonlinear heat equations, Hiroshima Math. J., 16 (1986), 539-552. |
|
| [I-15] |
Y. Giga and R. V. Kohn, Characterizing blowup using similarity variables, Indiana Univ. Math. J., 36 (1987), 1-40. |
|
| [I-16] |
A. Friedman and Y. Giga, A single point blow-up for solutions of semilinear parabolic systems, J. Fac. Sci. Univ. Tokyo Sect IA Math., 34 (1987), 65-79. |
|
| [I-17] |
Y. Giga and T. Kambe, Large time behavior of the vorticity of two-dimensional viscous flow and its application to vortex formation, Comm. Math. Phys., 117 (1988), 549-568. |
<preprint: HUPSM #2 (1987)> |
| [I-18] |
Y. Giga, T. Miyakawa and H. Osada, Two-dimensional Navier-Stokes flow with measures as initial vorticity, Arch. Rational Mech. Anal., 104 (1988), 223-250. |
|
| [I-19] |
P. Aviles and Y. Giga, Singularities and rank one properties of Hessian measures, Duke Math. J., 58 (1989), 441-467. |
<preprint: HUPSM #20 (1988)> |
| [I-20] |
Y. Giga and T. Miyakawa, Navier-Stokes flow in $R^3$ with measures as initial vorticity and Morrey spaces, Comm. in Partial Differential Equations, 14 (1989), 577-618. |
<preprint: HUPSM #32 (1988)> |
| [I-21] |
Y. Giga and H. Sohr, On the Stokes operator in exterior domains, J. Fac. Sci. Univ. Tokyo Sect IA Math., 36 (1989), 103-130. |
<preprint: HUPSM #29 (1988)> |
| [I-22] |
Y. Giga and R. V. Kohn, Nondegeneracy of blowup for semilinear heat equations, Comm. Pure Appl. Math., 42 (1989), 845-884. |
<preprint: HUPSM #46 (1988)> |
| [I-23] |
Y. Giga and Z. Yoshida, A dynamic free-boundary problem in plasma physics, SIAM J. Math. Anal., 21 (1990), 1118-1138. |
<preprint: HUPSM #47 (1988)> |
| [I-24] |
Z. Yoshida and Y. Giga, Remarks on spectra of operator rot, Math. Z. 204 (1990), 235-245. |
<preprint: HUPSM #48 (1989)> |
| [I-25] |
Y.-G. Chen, Y. Giga and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom., 33 (1991), 749-786. |
<preprint: HUPSM #57 (1989)> |
| [I-26] |
Y. Giga and H. Sohr, Abstract $L^p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains, J. Functional Anal., 102 (1991), 72-94. |
<preprint: HUPSM #60 (1989)> |
| [I-27] |
P. Aviles and Y. Giga, Variational integrals on mappings of bounded variation and their lower semicontinuity, Arch. Rational Mech. Anal., 115 (1991), 201-255. |
<preprint: HUPSM #69 (1990)> |
| [I-28] |
Y. Giga, S. Goto, H. Ishii and M.-H. Sato, Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains, Indiana Univ. Math. Journal, 40 (1991), 443-470. |
<preprint: HUPSM #88 (1990)> |
| [I-29] |
Y. Giga and S. Goto, Motion of hypersurfaces and geometric equations, J. Math. Soc. Japan, 44 (1992), 99-111. |
<preprint: HUPSM #70 (1990)> |
| [I-30] |
P. Aviles and Y. Giga, Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation, Duke Math. J., 67 (1992), 517-538. |
|
| [I-31] |
P. Aviles, Y. Giga and N. Komuro, Duality formulas and variational integrals, Adv. Math. Sci. Appl., 1 (1992), 207-228. |
<preprint: HUPSM #134 (1992)> |
| [I-32] |
Y. Giga, S. Goto and H. Ishii, Global existence of weak solutions for interface equations coupled with diffusion equations, SIAM J. Math. Anal., 23 (1992), 821-835. |
|
| [I-33] |
Y. Giga and K. Yama-uchi, On a lower bound for the extinction time of surfaces moved by mean curvature, Calculus of Variations and Partial Differential Equations, 1 (1993), 417-428. |
<preprint: HUPSM #185 (1993)> |
| [I-34] |
Y. Giga and M.-H. Sato, Neumann problem for singular degenerate parabolic equations, Diff. Integral Eqs. 6 (1993), 1217-1230. |
<preprint: HUPSM #164 (1992)> |
| [I-35] |
Y. Giga and Z. Yoshida, A bound for the pressure integral in a plasma equilibrium, J. Stat. Phys., 72 (1993), 1375-1389. |
<preprint: HUPSM #139 (1992)> |
| [I-36] |
Z. Yoshida and Y. Giga, Bound for the pressure integral in a toroidal-plasma equilibrium, Physical Review E 48 (1993), 2133-2135. |
|
| [I-37] |
Y. Giga and S. Takahashi, On global weak solutions of the nonstationary two-phase Stokes flow, SIAM J. Math. Anal., 25 (1994), 876-893. |
<preprint: HUPSM #149 (1992)> |
| [I-38] |
Y. Giga, Motion of a graph by convexified energy, Hokkaido Math. J., 23 (1994), 185-212. |
<preprint: HUPSM #197 (1993)> |
| [I-39] |
Y. Giga and K. Yama-uchi, On instability of evolving hypersurfaces, Diff. Integral Eqs., 7 (1994), 863-872. |
<preprint: HUPSM #219 (1993)> |
| [I-40] |
Y. Giga, Interior derivative blow-up for quasilinear parabolic equations, Discrete and Continuous Dynamical Systems 1 (1995), 449-461. |
<preprint: HUPSM #290 (1995)> |
| [I-41] |
S. Altschuler, S. Angenent and Y. Giga, Mean curvature flow through singularities for surfaces of rotation, J. Geom. Anal. 5 (1995), 293-358. |
<preprint: HUPSM #130 (1991)> |
| [I-42] |
Y. Giga and N. Mizoguchi, Existence of periodic solutions for equations of evolving curves, SIAM J. Math. Anal. 27 (1996), 5-39. |
<preprint: HUPSM #216 (1993)> |
| [I-43] |
C. Dohmen, Y. Giga and N. Mizoguchi, Existence of selfsimilar shrinking curves for anisotropic curvature flow equations, Calculus of Variations and Partial Differential Equations, 4 (1996), 103-119. |
<preprint: HUPSM #233 (1994)> |
| [I-44] |
Y. Giga and N. Mizoguchi, On time periodic solutions of the Dirichlet problem for degenerate parabolic equations of nondivergence type, J. Math. Anal. Appl., 201 (1996), 396-416. |
<preprint: HUPSM #239 (1994)> |
| [I-45] |
Y. Giga and M. Gurtin, A comparison theorem for crystalline evolution in the plane, Quart. of Appl. Math., 54 (1996), 727-737. |
<preprint: HUPSM #263 (1994)> |
| [I-46] |
P. Aviles and Y. Giga, The distance function and defect energy, Proc. Royal Soc. Edinburgh, 126 (1996), 923-938. |
<preprint: HUPSM #293 (1995)> |
| [I-47] |
M.-H. Giga and Y. Giga, Evolving graphs by singular weighted curvature, Arch. Rational Mech. Anal., 141 (1998), 117-198. |
<preprint: HUPSM #331 (1996)> |
| [I-48] |
Y. Giga, M.-E. Gurtin and J. Matias, On the dynamics of crystalline motions, Japan J. Ind. Appl. Math., 15 (1998), 7-50. |
<preprint: HUPSM #336 (1996)> |
| [I-49] |
Y.-G. Chen, Y. Giga and K. Sato, On instant extinction for very fast diffusion equations, Discrete and Continuous Dynamical Systems 3 (1997), 243-250. |
<preprint: HUPSM #353 (1996)> |
| [I-50] |
M.-H. Giga and Y. Giga, Stability for evolving graphs by nonlocal weighted curvature, Comm. in Partial Differential Equations, 24 (1999), 109-184. |
<preprint: HUPSM #372 (1997)> |
| [I-51] |
Y. Giga and K. Ito, On pinching of curves moved by surface diffusion, Comm. Appl. Anal., 2 (1998), 393-405. |
<preprint: HUPSM #379 (1997)> |
| [I-52] |
Y. Giga, S. Matsui and Y. Shimizu, On estimates in Hardy spaces for the Stokes flow in a half spaces, Math. Z. 231 (1999), 383-396. |
<preprint: HUPSM #381 (1997)> |
| [I-53] |
P. Aviles and Y. Giga, On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for gradient fields, Proc. Royal Soc. Edinburgh 129 (1999), 1-17. |
<preprint: HUPSM #386 (1997)> |
| [I-54] |
Y. Giga, M. Ohnuma and M.-H. Sato, On the strong maximum principle and the large time behavior of genaralized mean curvature flow with the Neumann boundary condition, J. Differential Equations, 154 (1999), 107-131. |
<preprint: HUPSM #391 (1997)> |
| [I-55] |
Y. Giga, K. Inui and S. Matsui, On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data, Quaderni di Matematica 4 (1999), 27-68. |
<preprint: HUPSM #410 (1998)> |
| [I-56] |
R. Kobayashi and Y. Giga, Equations with singular diffusivity, J. Stat. Phys. 95 (1999), 1187-1220. |
<preprint: HUPSM #420 (1998)> |
