Existence and non-existence of global solutions for a semilinear heat equation. (English) Zbl 0476.35043


35K55 Nonlinear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35B45 A priori estimates in context of PDEs
35B35 Stability in context of PDEs
35K05 Heat equation
35B60 Continuation and prolongation of solutions to PDEs
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