Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity
From MaRDI portal
Publication:1799159
DOI10.1016/j.jmaa.2018.09.039OpenAlexW2893303370MaRDI QIDQ1799159
Publication date: 18 October 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.039
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
- The Cauchy problem for heat equations with exponential nonlinearity
- Existence and regularity of multiple solutions for infinitely degenerate nonlinear elliptic equations with singular potential
- Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
- A singular parabolic equation with logarithmic nonlinearity and \(L^p\)-initial data
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- A criterion for hypoellipticity of second order differential operators
- Hypoellipticity for infinitely degenerate elliptic operators
- A note on hypoellipticity of degenerate elliptic operators
- Saddle points and instability of nonlinear hyperbolic equations
- On the hypoellipticity for infinitely degenerate semi-elliptic operators
- Hypoellipticity of some degenerate subelliptic operators
- The positivity of Schrödinger operators and the hypoellipticity of second order degenerate elliptic operators
- Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
- A nonlinear heat equation with singular initial data
- Global existence and nonexistence for semilinear parabolic equations with conical degeneration
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Hypoelliptic second order differential equations
- On global solution of nonlinear hyperbolic equations
- GLOBAL SOLUTION AND BLOWUP OF SEMILINEAR HEAT EQUATION WITH CRITICAL SOBOLEV EXPONENT
- The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Blow up rate for semilinear heat equations with subcritical nonlinearity
This page was built for publication: Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity