The Cauchy problem for heat equations with exponential nonlinearity

On Imbeddings into Orlicz Spaces and Some Applications

Neil S. Trudinger · Indiana University Mathematics Journal · 1967 · 1K citations

Natural Sciences, Computer Science, Topology +4

A sharp form of an inequality by N. Trudinger

J. Moser · Indiana University Mathematics Journal · 1971 · 966 citations

Social Sciences, History, Social Inequality +2

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

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