Y. Giga

Hokkaido University, Japan

Articles in Scholarly Journals [Incomplete List]

  1. Magnetic clusters and fold energies
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 137, no. 01, p. 23, 2007
  2. On blow-up at space infinity for semilinear heat equations
    Journal of Mathematical Analysis and Applications, vol. 316, no. 2, pp. 538–555, 2006
  3. Self-similar Expanding Solutions in a Sector for a Crystalline Flow
    SIAM Journal on Mathematical Analysis, vol. 37, no. 4, p. 1207, 2005
  4. Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
    Discrete Applied Mathematics, vol. 147, no. 2-3, pp. 265–285, 2005
  5. Local solvability of a constrainedgradient system of total variation
    Abstract and Applied Analysis, vol. 2004, no. 8, pp. 651–682, 2004
  6. On blow-up rate for sign-changing solutions in a convex domain
    Mathematical Methods in the Applied Sciences, vol. 27, no. 15, pp. 1771–1782, 2004
  7. Blow up rate for semilinear heat equations with subcritical nonlinearity
    Indiana University Mathematics Journal, vol. 53, no. 2, pp. 483–514, 2004
  8. Anisotropic curvature flow in a very thin domain
    Indiana University Mathematics Journal, vol. 52, no. 2, pp. 257–282, 2003
  9. Dynamic Boundary Conditions for Hamilton--Jacobi Equations
    SIAM Journal on Mathematical Analysis, vol. 34, no. 4, p. 861, 2003
  10. A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations
    Mathematics of Computation, vol. 72, no. 241, pp. 159–182, 2003
  11. Viscosity solutions with shocks
    Communications on Pure and Applied Mathematics, vol. 55, no. 4, pp. 431–480, 2002
  12. On a limiting motion and self-intersections for the intermediate surface diffusion flow
    Journal of Evolution Equations, vol. 2, no. 3, pp. 349–364, 2002
  13. Generalized Motion¶by Nonlocal Curvature in the Plane
    Archive for Rational Mechanics and Analysis, vol. 159, no. 4, pp. 295–333, 2001
  14. On a limiting motion and self-intersections of curves moved by the intermediate surface diffusion flow
    Nonlinear Analysis, vol. 47, no. 6, pp. 3717–3728, 2001
  15. Remarks on the uniqueness of bounded solutions of the Navier–Stokes equations
    Nonlinear Analysis, vol. 47, no. 6, pp. 4151–4156, 2001
  16. A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS
    Communications in Partial Differential Equations, vol. 26, no. 5-6, pp. 813–839, 2001
  17. Global Existence of Two-Dimensional Navierâ??Stokes Flow with Nondecaying Initial Velocity
    Journal of Mathematical Fluid Mechanics, vol. 3, no. 3, pp. 302–315, 2001
  18. On estimates in Hardy spaces for the Stokes flow in a half space
    Mathematische Zeitschrift, vol. 231, no. 2, pp. 383–396, 1999
  19. On the Strong Maximum Principle and the Large Time Behavior of Generalized Mean Curvature Flow with the Neumann Boundary Condition
    Journal of Differential Equations, vol. 154, no. 1, pp. 107–131, 1999
  20. Journal of Statistical Physics, vol. 95, no. 5/6, pp. 1187–1220, 1999
  21. Stability for evolving graphs by nonlocal weighted curvature
    Communications in Partial Differential Equations, vol. 24, no. 1, pp. 109–184, 1999
  22. Evolving Graphs by Singular Weighted Curvature
    Archive for Rational Mechanics and Analysis, vol. 141, no. 2, pp. 117–198, 1998
  23. Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
    Calculus of Variations and Partial Differential Equations, vol. 4, no. 2, pp. 103–119, 1996
  24. On Time Periodic Solutions of the Dirichlet Problem for Degenerate Parabolic Equations of Nondivergence Type
    Journal of Mathematical Analysis and Applications, vol. 201, no. 2, pp. 396–416, 1996
  25. SIAM Journal on Mathematical Analysis, vol. 27, no. 1, Article ID 0527002, 1996
  26. SIAM Journal on Mathematical Analysis, vol. 25, no. 3, Article ID 0525048, 1994
  27. A bound for the pressure integral in a plasma equilibrium
    Journal of Statistical Physics, vol. 72, no. 5-6, pp. 1375–1389, 1993
  28. On a lower bound for the extinction time of surfaces moved by mean curvature
    Calculus of Variations and Partial Differential Equations, vol. 1, no. 4, pp. 417–428, 1993
  29. SIAM Journal on Mathematical Analysis, vol. 23, no. 4, Article ID 0523043, 1992
  30. integrals on mappings of bounded variation
    Duke Mathematical Journal, vol. 67, no. 3, pp. 517–538, 1992
  31. Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
    Journal of Functional Analysis, vol. 102, no. 1, pp. 72–94, 1991
  32. Variational integrals on mappings of bounded variation and their lower semicontinuity
    Archive for Rational Mechanics and Analysis, vol. 115, no. 3, pp. 201–255, 1991
  33. Indiana University Mathematics Journal, vol. 40, no. 2, Article ID 40023, 1991
  34. SIAM Journal on Mathematical Analysis, vol. 21, no. 5, Article ID 0521062, 1990
  35. Remarks on spectra of operator rot
    Mathematische Zeitschrift, vol. 204, no. 1, pp. 235–245, 1990
  36. Singularities and rank one properties of Hessian measures
    Duke Mathematical Journal, vol. 58, no. 2, pp. 441–467, 1989
  37. Navier-stokes flow in r3 with measures as initial vorticity and morrey spaces
    Communications in Partial Differential Equations, vol. 14, no. 5, pp. 577–618, 1989
  38. Nondegeneracy of blowup for semilinear heat equations
    Communications on Pure and Applied Mathematics, vol. 42, no. 6, pp. 845–884, 1989
  39. Large time behavior of the vorticity of two-dimensional viscous flow and its application to vortex formation
    Communications in Mathematical Physics, vol. 117, no. 4, pp. 549–568, 1988
  40. Large time behavior of the vorticity of 2D viscous flow and vortex formation in 3D flow
    Fluid Dynamics Research, vol. 3, no. 1-4, pp. 83–86, 1988
  41. Indiana University Mathematics Journal, vol. 36, no. 1, Article ID 36001, 1987
  42. A bound for global solutions of semilinear heat equations
    Communications in Mathematical Physics, vol. 103, no. 3, pp. 415–421, 1986
  43. Solutions for semilinear parabolic equations in and regularity of weak solutions of the Navier-Stokes system
    Journal of Differential Equations, vol. 62, no. 2, pp. 186–212, 1986
  44. Solutions in Lr of the Navier-Stokes initial value problem
    Archive for Rational Mechanics and Analysis, vol. 89, no. 3, pp. 267–281, 1985
  45. Domains of fractional powers of the Stokes operator in Lr spaces
    Archive for Rational Mechanics and Analysis, vol. 89, no. 3, pp. 251–265, 1985
  46. Asymptotically self-similar blow-up of semilinear heat equations
    Communications on Pure and Applied Mathematics, vol. 38, no. 3, pp. 297–319, 1985
  47. A Kinetic Approach to General First Order Quasilinear Equations
    Transactions of the American Mathematical Society, vol. 287, no. 2, p. 723, 1985
  48. A Nonlinear semigroup approach to the navier - stokes system
    Communications in Partial Differential Equations, vol. 9, no. 3, pp. 215–230, 1984
  49. On the equations of the two-component theory in magnetohydrodynamics
    Communications in Partial Differential Equations, vol. 9, no. 6, pp. 503–522, 1984
  50. On the Ohm–Navier–Stokes system in magnetohydrodynamics
    Journal of Mathematical Physics, vol. 24, no. 12, p. 2860, 1983
  51. Time and spartial analyticity of solutions of the navier-stokes equations
    Communications in Partial Differential Equations, vol. 8, no. 8, pp. 929–948, 1983
  52. quasilinear equations
    Duke Mathematical Journal, vol. 50, no. 2, pp. 505–515, 1983
  53. Analyticity of the semigroup generated by the Stokes operator inL r spaces
    Mathematische Zeitschrift, vol. 178, no. 3, pp. 297–329, 1981