On a Class of Nonlinear Neumann Problems of Parabolic Type: Blow-Up of Solutions

M.A. Pozio, Alberto Tesei
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