Supersolutions for a class of nonlinear parabolic systems

DOI10.1016/j.jde.2015.12.031zbMath1338.35228arXiv1510.07838OpenAlexW1848128011MaRDI QIDQ2634215

Kazuhiro Ishige, Mikołaj Sierżęga, Tatsuki Kawakami

Publication date: 8 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07838

zbMATH Keywords

local existencenonlinear parabolic equationsblow upsupersolutionsoptimal estimates

Mathematics Subject Classification ID

Related Items (22)

Global in time solvability for a semilinear heat equation without the self-similar structure ⋮ Optimal singularities of initial functions for solvability of a semilinear parabolic system ⋮ Existence of solutions for a fractional semilinear parabolic equation with singular initial data ⋮ Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems ⋮ Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ} ⋮ Quantitative description on initial trace for the solvability to heat equation with exponential boundary in unbounded domain ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Solvability of the Heat Equation with a Nonlinear Boundary Condition ⋮ Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients ⋮ Solvability of a Semilinear Heat Equation via a Quasi Scale Invariance ⋮ Existence and nonexistence of solutions for the heat equation with a superlinear source term ⋮ Weakly coupled reaction-diffusion systems with rapidly growing nonlinearities and singular initial data ⋮ Global existence of solutions to a weakly coupled critical parabolic system in two-dimensional exterior domains ⋮ Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity ⋮ Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations ⋮ Initial traces and solvability of Cauchy problem to a semilinear parabolic system ⋮ Local existence and nonexistence for reaction-diffusion systems with coupled exponential nonlinearities ⋮ Solvability of a Semilinear Parabolic Equation with Measures as Initial Data ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations ⋮ Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators ⋮ Solvability of superlinear fractional parabolic equations

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