Universal bounds at the blow-up time for nonlinear parabolic equations
From MaRDI portal
Publication:2504029
zbMath1122.35042MaRDI QIDQ2504029
Daniele Andreucci, Anatolii F. Tedeev
Publication date: 22 September 2006
Published in: Advances in Differential Equations (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)
Related Items (44)
Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients ⋮ Self-similar blow-up profiles for a reaction-diffusion equation with strong weighted reaction ⋮ Self-similar blow-up profiles for a reaction-diffusion equation with critically strong weighted reaction ⋮ Асимптотическое поведение решения дважды вырождающихся параболических уравнений с неоднородной плотностью ⋮ Stability of blowup for a parabolic \(p\)-Laplace equation with nonlinear source ⋮ Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Large-time behavior of solutions to the Cauchy problem for degenerate parabolic system ⋮ Blow-up and global existence for the inhomogeneous porous medium equation with reaction ⋮ Non-existence of nonnegative separate variable solutions to a porous medium equation with spatially dependent nonlinear source ⋮ Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations ⋮ On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes ⋮ Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source ⋮ Qualitative properties of solutions to a time-space fractional evolution equation ⋮ Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations ⋮ Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential ⋮ Убывание решения задачи коши при неограниченном возрастании времени дважды вырожденных параболических уравнений с демпфированием ⋮ Qualitative Properties of Solutions of Degenerate Parabolic Equations via Energy Approaches ⋮ Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction ⋮ On the behavior of solutions to the Cauchy problem for a degenerate parabolic equation with inhomogeneous density and a source ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ A universal bound for radial solutions of the quasilinear parabolic equation with \(p\)-Laplace operator ⋮ Unnamed Item ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction ⋮ Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data ⋮ Support properties of solution to degenerate equation with variable coefficient and absorption ⋮ A complete upper estimate on the localization for the degenerate parabolic equation with nonlinear source ⋮ Blow up rate for a porous medium equation with power nonlinearity ⋮ The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source ⋮ Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption ⋮ Existence of solutions to the slow diffusion equation with a nonlinear source ⋮ Blow up profiles for a reaction-diffusion equation with critical weighted reaction ⋮ Optimal singularities of initial data for solvability of the Hardy parabolic equation ⋮ A complete estimate on the localization for a porous medium type equation ⋮ The Decay Rate of the Solution to the Cauchy Problem for Doubly Nonlinear Parabolic Equation with Absortion ⋮ Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds ⋮ Local and global estimates of the solutions of the Cauchy problem for quasilinear parabolic equations with a nonlinear operator of Baouendi-Grushin type ⋮ On the phenomenon of the support shrinking of a solution with a time delay and on the extinction of the solution ⋮ Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth ⋮ Blow-up rates for a higher-order semilinear parabolic equation with nonlinear memory term
This page was built for publication: Universal bounds at the blow-up time for nonlinear parabolic equations
