Asymptotic behaviors of solutions for time dependent damped wave equations

Critical Exponent for a Nonlinear Wave Equation with Damping

Grozdena Todorova, Borislav Yordanov · Journal of Differential Equations · 2001 · 379 citations

Nonlinear Wave Propagation, Vibration Control, Nonlinear Equation +1

A blow-up result for a nonlinear wave equation with damping: The critical case

Qi S. Zhang · Comptes Rendus de l Académie des Sciences - Series I - Mathematics · 2001 · 310 citations

Blow-up Result, Nonlinear Wave Equation, Nonlinear Wave Propagation +5

L p -L q estimates of solutions to the damped wave equation in 3-dimensional space and their application

Kenji Nishihara · Mathematische Zeitschrift · 2003 · 267 citations

Numerical Analysis, Nonlinear Functional Analysis, Elliptic Equation +6

A very singular solution of the heat equation with absorption

Haı̈m Brezis, L. A. Peletier, David Terman · Archive for Rational Mechanics and Analysis · 1986 · 245 citations

Numerical Analysis, Singular Solution, Engineering +7

Variational problems related to self-similar solutions of the heat equation

Miguel Escobedo, Otared Kavian · Nonlinear Analysis · 1987 · 214 citations

Elliptic Equation, Parabolic Equation, Nonlinear Hyperbolic Problem +3