Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations YG Chen, Y Giga, S Goto Fundamental Contributions to the Continuum Theory of Evolving Phase …, 1999 | 1418 | 1999 |

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system Y Giga Journal of differential equations 62 (2), 186-212, 1986 | 1003 | 1986 |

Asymptotically self? similar blow? up of semilinear heat equations Y Giga, RV Kohn Communications on Pure and Applied Mathematics 38 (3), 297-319, 1985 | 753 | 1985 |

Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains Y Giga, H Sohr Journal of functional analysis 102 (1), 72-94, 1991 | 661 | 1991 |

Solutions in L_{r} of the Navier-Stokes initial value problemY Giga, T Miyakawa Archive for Rational Mechanics and Analysis 89 (3), 267-281, 1985 | 578 | 1985 |

Characterizing blowup using similarity variables Y Giga, RV Kohn Indiana University Mathematics Journal 36 (1), 1-40, 1987 | 569 | 1987 |

Surface evolution equations Y Giga Surface Evolution Equations: A Level Set Approach, 15-68, 2006 | 512 | 2006 |

Analyticity of the semigroup generated by the Stokes operator in*L* _{ r } spacesY Giga Mathematische Zeitschrift 178, 297-329, 1981 | 502 | 1981 |

Nondegeneracy of blowup for semilinear heat equations Y Giga, RV Kohn Communications on Pure and Applied Mathematics 42 (6), 845-884, 1989 | 428 | 1989 |

Navier-stokes flow in r^{3} with measures as initial vorticity and morrey spacesY Giga, T Miyakawa Communications in partial differential equations 14 (5), 577-618, 1989 | 427 | 1989 |

Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains Y Giga, S Goto, H Ishii, MH Sato Indiana University Mathematics Journal, 443-470, 1991 | 315 | 1991 |

Remarks on spectra of operator rot Z Yoshida, Y Giga Mathematische Zeitschrift 204, 235-245, 1990 | 307 | 1990 |

Domains of fractional powers of the Stokes operator in L_{r} spacesY Giga Archive for rational mechanics and analysis 89, 251-265, 1985 | 273 | 1985 |

Two Dimensional Navier Stokes Flow with Measures as Initial Vorticity Y Giga, T Miyakawa, H Osada | 249 | 1986 |

On the Stokes operator in exterior domains Y Giga, H Sohr Department of Mathematics, Univ., 1988 | 244 | 1988 |

Nonlinear partial differential equations: Asymptotic behavior of solutions and self-similar solutions MH Giga, Y Giga, J Saal Springer Science & Business Media, 2010 | 230 | 2010 |

A bound for global solutions of semilinear heat equations Y Giga Communications in mathematical physics 103, 415-421, 1986 | 212 | 1986 |

Mean curvature flow through singularities for surfaces of rotation S Altschuler, SB Angenent, Y Giga The Journal of Geometric Analysis 5, 293-358, 1995 | 187 | 1995 |

A mathematical problem related to the physical theory of liquid crystal configurations P Aviles, Y Giga Miniconference on geometry/partial differential equations, 2 12, 1-17, 1987 | 145 | 1987 |

On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data Y Giga Quad. Mat. 4, 28-68, 1999 | 143 | 1999 |