Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients

DOI10.1134/S0012266120060051zbMath1444.35094OpenAlexW3039095249MaRDI QIDQ776867

Publication date: 13 July 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120060051

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Absence of positive solutions of a second-order semilinear parabolic equation with time-periodic coefficients
Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
On global solutions of the radial \(p\)-Laplace equation
Boundedness and blow up for a semilinear reaction-diffusion system
A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
On the growing problem for semilinear heat equations
Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
Existence and nonexistence of global solutions of degenerate and singular parabolic systems
Periodic solutions of a non-linear parabolic equation
Second-order semilinear elliptic inequalities in exterior domains.
Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems
The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
Non-existence of positive solutions of Lane-Emden systems
On time periodic solutions of Dirichlet problem for degenerate parabolic equations of nondivergence type
The role of critical exponents in blow-up theorems: The sequel
On solutions of quasilinear elliptic inequalities containing terms with lower-order derivatives
On the existence of a positive solution of a nonlinear second-order parabolic equation with time-periodic coefficients
The Role of Critical Exponents in Blowup Theorems
On the principal eigenvalue of a periodic-parabolic operator
On Periodic Solutions of Superlinear Parabolic Problems
A Remark on the Existence of Positive Periodic Solutions of Superlinear Parabolic Problems
Global and local behavior of positive solutions of nonlinear elliptic equations
A Fujita‐type global existence—global non‐existence theorem for a system of reaction diffusion equations with differing diffusivities
On nonexistence of global solutions of some semilinear parabolic differential equations
Positive Unstable Periodic Solutions for Superlinear Parabolic Equations
Bounds for the fundamental solution of a parabolic equation
Nonexistence results and estimates for some nonlinear elliptic problems

This page was built for publication: Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients