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On a Class of Nonlinear Neumann Problems of Parabolic Type: Blow-Up of Solutions
1996
Zeitschrift für Analysis und ihre Anwendungen
We investigate large time behaviour of solutions for a class of nonlinear Neumann parabolic problems of indefinite type, possibly degenerate. Depending on the features of the problem, several parameters play a role to establish global boundedness or finite time blowup of solutions. The occurrence of either situation is related with the existence of stationary solutions. Proofs make extensive use of monotonicity methods.
doi:10.4171/zaa/737
fatcat:k2fll72jyvarhkhn32aa4rv6ui