Initial blow-up rates and universal bounds for nonlinear heat equations.
From MaRDI portal
Publication:1428258
DOI10.1016/j.jde.2003.10.007zbMath1044.35027OpenAlexW2020681909MaRDI QIDQ1428258
Michael Winkler, Philippe Souplet, Pavol Quittner
Publication date: 14 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.007
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45)
Related Items
Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations, Isolated singularities of nonlinear parabolic inequalities, Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations, Initial blow-up of solutions of semilinear parabolic inequalities, Universal bound for global solution of nonlinear heat equation, Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation, Boundedness and stability of global solutions for some superlinear and nonautonomous heat equations, Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems, Non-autonomous parabolic problems with singular initial data in weighted spaces, Global solutions of inhomogeneous Hamilton-Jacobi equations, Blow-up time for nonlinear heat equations with transcendental nonlinearity, Blow-up behavior of positive solutions for a chemical fuel ignition device model, Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces, Quantitative unique continuation for the semilinear heat equation in a convex domain, Optimal Liouville theorems for superlinear parabolic problems, Blow-up of solutions of nonlinear parabolic inequalities, Unnamed Item, A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the asymptotic behavior of solutions of certain quasilinear parabolic equations
- A bound for global solutions of semilinear heat equations
- Refined uniform estimates at blow-up and applications for nonlinear heat equations
- Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
- Universal blow-up rates for a semilinear heat equation and applications
- A Liouville theorem for vector-valued nonlinear heat equations and applications
- Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity
- Admissible Lp norms for local existence and for continuation in semilinear parabolic systems are not the same
- A degenerate diffusion equation with a nonlinear source term
- Solutions globales d'equations de la chaleur semi lineaires.
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- Global Behavior for a Class of Nonlinear Evolution Equations
- An L∞ blow‐up estimate for a nonlinear heat equation
- A priori bounds for positive solutions of nonlinear elliptic equations
- On a dirichlet problem with a singular nonlinearity
- Regularity of an elliptic problem with a singular nonlinearity
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- On a Singular Nonlinear Elliptic Problem
- On the growth of solutions of quasi‐linear parabolic equations
- Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions
- Universal bound for global positive solutions of a superlinear parabolic problem
