Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations

On the Navier-Stokes initial value problem. I

Hiroshi Fujita, Tosio Kato · Archive for Rational Mechanics and Analysis · 1964 · 1.3K citations

Natural Sciences, Mathematics, Physics +12

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga · Journal of Differential Equations · 1986 · 896 citations

Natural Sciences, Mathematics, Physics +15

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

Thierry Cazenave, Fred B. Weissler · Nonlinear Analysis · 1990 · 803 citations

Natural Sciences, Physics, Condensed Matter Physics +13

Asymptotically self‐similar blow‐up of semilinear heat equations

Yoshikazu Giga, Robert V. Kohn · Communications on Pure and Applied Mathematics · 1985 · 612 citations

Natural Sciences, Physics, Dynamical Systems +10

Existence and non-existence of global solutions for a semilinear heat equation

Fred B. Weissler · Israel Journal of Mathematics · 1981 · 604 citations

Natural Sciences, Mathematics, Mechanical Engineering +13