Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems
- 1 January 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 89 (3-4) , 249-258
- https://doi.org/10.1017/s0308210500020266
Abstract
Synopsis: We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these solutions are obtained, and the optimality of our hypotheses is discussed.Keywords
This publication has 2 references indexed in Scilit:
- Estimates on the support of solutions of parabolic variational inequalitiesIllinois Journal of Mathematics, 1976
- Asymptotic convergence of nonlinear contraction semigroups in Hilbert spaceJournal of Functional Analysis, 1975