Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

Natural Sciences, Mathematics, Physics +14

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

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

Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems

Michael G. Crandall, Paul H. Rabinowitz · Archive for Rational Mechanics and Analysis · 1975 · 458 citations

Natural Sciences, Mathematics, Computational Mechanics +14

Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

Hideo Kozono, Masao Yamazaki · Communications in Partial Differential Equations · 1994 · 421 citations

Natural Sciences, Physics, Differential Equations +13