On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions

On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions

We establish conditions for the existence and nonexistence of global solutions of an initial–boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. The results depend on the behavior of variable coefficients as t →∞.

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Veröffentlicht in:Differential equations 2016-04, Vol.52 (4), p.467-482
Hauptverfasser: Gladkov, A. L., Nikitin, A. I.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Cauchy problems
Difference and Functional Equations
Differential equations
Eigenvalues
Initial value problems
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
Studies
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Beschreibung
Zusammenfassung:We establish conditions for the existence and nonexistence of global solutions of an initial–boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. The results depend on the behavior of variable coefficients as t →∞.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266116040078