On the boundedness of global solutions of abstract semilinear parabolic equations

DOI10.1006/jmaa.1997.5696zbMath0892.35069OpenAlexW1995166646MaRDI QIDQ1378755

Levine, Howard A., Marek Fila

Publication date: 14 July 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5696

zbMATH Keywords

higher order semilinear parabolic equationsparabolic equations with a nonlocal termsemilinear evolution equations of parabolic type

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (7)

Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation ⋮ Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations ⋮ A priori estimates for global solutions of semilinear heat equations in \(\mathbb R^n\) ⋮ Perturbation of the mapping and solvability theorems in Banach space ⋮ Integral inequalities and global solutions of semilinear evolution equations ⋮ Nonlocal parabolic equation with conserved spatial integral

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On the asymptotic behavior of solutions of certain quasilinear parabolic equations
• A bound for global solutions of semilinear heat equations
• Remarks on the large time behaviour of a nonlinear diffusion equation
• Geometric theory of semilinear parabolic equations
• Boundedness of global solutions of nonlinear diffusion equations
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Semilinear parabolic equations with prescribed energy
• Study of global solutions of parabolic equations viaa priori estimates. Part I: Equations with principal elliptic part equal to the laplacian
• Blowup in a Partial Differential Equation with Conserved First Integral
• Solutions globales d'equations de la chaleur semi lineaires.
• The Role of Critical Exponents in Blowup Theorems
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• A Threshold Result for a Non-local Parabolic Equation
• Boundedness of global solutions of nonlocal parabolic equations

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