Boundedness of global solutions of nonlinear diffusion equations

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 1975 · 831 citations

Natural Sciences, Mathematics, Physics +13

Stabilization of solutions of a degenerate nonlinear diffusion problem

Donald G. Aronson, Michael G. Crandall, L. A. Peletier · Nonlinear Analysis · 1982 · 386 citations

Natural Sciences, Mathematics, Differential Equations +11

On the asymptotic behavior of solutions of certain quasilinear parabolic equations

Wei‐Ming Ni, Paul Sacks, John Tavantzis · Journal of Differential Equations · 1984 · 161 citations

Natural Sciences, Mathematics, Differential Equations +9

A bound for global solutions of semilinear heat equations

Yoshikazu Giga · Communications in Mathematical Physics · 1986 · 148 citations

Natural Sciences, Mechanical Engineering, Heat Transfer +5

Stabilization of solutions of nonlinear and degenerate evolution equations

Michel Langlais, Daniel Phillips · Nonlinear Analysis · 1985 · 110 citations

Natural Sciences, Mathematics, Differential Equations +10