Recent Advances in Nonlinear Elliptic and Parabolic Problems: 208 (Pitman Research Notes in Mathematics Series) - Softcover

Inhaltsangabe

This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988. The main issues addressed were: nonlinear elliptic equations and systems, parabolic equations, time-dependent systems and the calculus of variations. Among the problems investigated are the classical issues of existence, uniqueness and smoothness of solutions, as well as blow-up, asymptotic behaviour, localization of the support, free boundaries, periodic behaviour, etc. The applications are numerous, including flow through porous media, chemical reaction-diffusion, phase transitions, population dynamics, image segmentation, electromagnetic casting, internal waves, etc. This book should interest not only any specialist in partial differential equations, but also any analyst and applied mathematician.

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