Life span of positive solutions for the Cauchy problem for the parabolic equations
From MaRDI portal
Publication:446342
DOI10.1155/2012/417261zbMath1250.35123OpenAlexW2087539856WikidataQ58702780 ScholiaQ58702780MaRDI QIDQ446342
Publication date: 6 September 2012
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/417261
Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
- Unnamed Item
- Life span of positive solutions for a semilinear heat equation with general non-decaying initial data
- Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity
- Global existence of solutions for a reaction-diffusion system.
- Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\)
- Life span of positive solutions for a semilinear heat equation with non-decaying initial data.
- Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbf R^N\). II.
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- On blow-up at space infinity for semilinear heat equations
- Blow-up results for a reaction-diffusion system
- Global existence and blowup for sign-changing solutions of the nonlinear heat equation
- Existence and non-existence of global solutions for a semilinear heat equation
- Boundedness and blow up for a semilinear reaction-diffusion system
- Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in \(\mathbb{R}^ N\)
- On the growing problem for semilinear heat equations
- Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II
- The behavior of the life span for solutions to \(u_t=\Delta u+a(x) u^p\) in \(\mathbb{R}^d\)
- Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
- Life span of solutions of the Cauchy problem for a semilinear heat equation
- Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation
- Behavior of the life span for solutions to the system of reaction-diffusion equations
- Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- The role of critical exponents in blow-up theorems: The sequel
- On directional blow-up for quasilinear parabolic equations with fast diffusion
- Blowup stability of solutions of the nonlinear heat equation with a large life span
- Life span of solutions with large initial data in a semilinear parabolic equation
- The Role of Critical Exponents in Blowup Theorems
- Blow-up directions for quasilinear parabolic equations
- BLOW-UP AT SPACE INFINITY FOR NONLINEAR HEAT EQUATIONS
- A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions
- Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
- Blowup and Life Span of Solutions for a Semilinear Parabolic Equation
- The critical exponents of parabolic equations and blow-up inRn
- On nonexistence of global solutions of some semilinear parabolic differential equations
- On the growth of solutions of quasi‐linear parabolic equations
- Critical exponents of quasilinear parabolic equations
