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Finite-time blow-up and global solutions for some nonlinear parabolic equations. (English) Zbl 1150.35336

Summary: The global existence and finite-time blow-up depending on the initial datum are established for a class of semilinear parabolic equations. The proofs involve tools from the potential-well theory, from the critical-point theory, and from classical comparison principles.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35K55 Nonlinear parabolic equations
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