Elliptic and Parabolic Problems Pont-A-Mousson 1994, Volume 325 [Hardcover]

This Research Note presents some recent advances in various important domains of partial differential
equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,
mechanics and engineering.

These topics are now part of various areas of science and have
experienced tremendous development during the last decades.
-------------------------------------Preface
Calderon-Zygmund inequalities, Riesz potentials and Riesz transforms in weighted Sobolev spaces, C Amrouche,
V Girault and J Giroire
Nonuniqueness results forquasilinear elliptic systems, N Andre
The support shrinking in solutions of parabolic equations with non
homogeneous absorption terms, S N Antontsev, J I Diaz and S I Shmarev
Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform, D Z Arov, I P Gavrilyuk
and V L Makarov
A unified formulation for the boundary conditions in some
convection diffusion problem, J Carrillo and A Alonso
An existence theorem for an unbounded dam with leaky boundary
conditions, M Chipot and A Lyaghfouri
Local weak solutions for a multivalued evolution equation, M Choulli and R Deville
Nonlinear parabolic problems modelling transition dynamics with
memory, P Colli and M Grasselli
On a multi dimensional moving boundary problem, J Escher and G
Simonett
Cauchy problem for equations of nonlinear heat conductibility with
convection in classes of growing functions, A L Gladkov
Large time behaviour of non isothermal models for phase separation, A Ito, N Kenmochi and M Niezgodka
On convergence of the solutions of inverse problems for parabolic
equations with weakly converging coefficients, V L Kamynin
On the Airy equation with a coefficient depending on t, J
Pol£p