Qualitative study of nonlinear parabolic equations: an introduction.
Problemas estáticos con frontera libre en mecánica de medios continuos.
A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology.
We present some results on the mathematical treatment of a global two-dimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature. The spatial domain is a compact two-dimensional Riemannian manifold without boundary simulating the Earth. We prove the existence of bounded weak solutions via a fixed point argument. Although, the uniqueness of solutions may fail, in general, we give a...
Existence and attractivity results for a class of degenerate functional-parabolic problems
Asymptotics for some nonlinear damped wave equation : finite time convergence versus exponential decay results
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