Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data

DOI10.1016/S0022-247X(03)00062-3zbMath1029.35109MaRDI QIDQ1874627

Gabriella Caristi, Enzo Mitidieri

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

blow-upglobal existencepolynomially decaying data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for higher-order parabolic equations (35K30)

Related Items

The two-obstacle problem for the parabolic biharmonic equation, Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay, Second critical exponent for a higher-order semilinear parabolic system, Regularity of the obstacle problem for the parabolic biharmonic equation, Effect of decay rates of initial data on the sign of solutions to Cauchy problems of polyharmonic heat equations, Global existence and non-existence for a higher-order parabolic equation with time-fractional term, Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations, Global solutions for a nonlinear integral equation with a generalized heat kernel, Inhomogeneous nonlinear high-order evolution equations, Existence of solutions for a higher-order semilinear parabolic equation with singular initial data, Critical and supercritical higher order parabolic problems in \(\mathbb R^N\), Space-time estimates of mild solutions of a class of higher-order semilinear parabolic equations in \(L^{p}\), Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption, Complicated asymptotic behavior of solutions for the Cauchy problem of Cahn-Hilliard equation, Critical exponent for the Cauchy problem to the weakly coupled damped wave system, Refined asymptotics for entire solutions of a biharmonic equation with a supercritical nonlinearity, Some new properties of biharmonic heat kernels, Asymptotics for a nonlinear integral equation with a generalized heat kernel, Solvability of superlinear fractional parabolic equations, Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator

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