A quasilinear functional reaction-diffusion equation arising in climatology. (English) Zbl 0921.35182

Díaz, J. I.; Hetzer, G.

Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 461-480 (1998).

After presenting the climatological background the authors derive a quasilinear functional reaction-diffusion equation arising in climatology. A section on the existence in the continuous case deals with a Hilbert space setting for global solvability, a \(C(M)\) approach and global boundedness. Existence of solutions, when the given second member has discontinuities, is also analysed.
For the entire collection see [Zbl 0899.00020].

Reviewer: W.M.Oliva (Lisboa)

MSC:

35R10	Partial functional-differential equations
35K57	Reaction-diffusion equations

Keywords:

quasilinear functional reaction-diffusion equation; climatology; global solvability; global boundedness