Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
From MaRDI portal
Publication:2286202
DOI10.3934/CPAA.2020042zbMath1430.35139OpenAlexW2981190367WikidataQ126862857 ScholiaQ126862857MaRDI QIDQ2286202
Publication date: 10 January 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2020042
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Related Items (3)
Initial boundary value problem for \(p\)-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity ⋮ Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth ⋮ Existence and non-existence of global solutions for a heat equation with degenerate coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
- Multiple solutions to logarithmic Schrödinger equations with periodic potential
- A new blow-up condition for a parabolic equation with singular potential
- Multi-bump solutions for logarithmic Schrödinger equations
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
- Blow-up phenomena for some nonlinear parabolic problems
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Semilinear evolution equations in Banach spaces
- Geometric theory of semilinear parabolic equations
- Existence and non-existence of global solutions for a semilinear heat equation
- Saddle points and instability of nonlinear hyperbolic equations
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Non-Newton filtration equation with special medium void
- Global existence and blow-up of solutions to a singular non-Newton polytropic filtration equation with critical and supercritical initial energy
- Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
- Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
- Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content
- Dual variational methods in critical point theory and applications
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void
- Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
- The existence of global solution and the blow up problem for some \( p\)-Laplace heat equations
- Local well-posedness of a new integrable equation
- Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝ<sup>n</sup>
- Logarithmic Sobolev Inequalities
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- On nonexistence of global solutions of some semilinear parabolic differential equations
- Blow up rate for semilinear heat equations with subcritical nonlinearity
- A logarithmic Schrödinger equation with asymptotic conditions on the potential
This page was built for publication: Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
