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Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems

Published online by Cambridge University Press:  14 November 2011

J. I. Díaz  and
M. A. Herrero
J. I. Díaz
Affiliation:
Departamento de Ecuaciones Funcionales, Facultad de Matematicas, Universidad Complutense, Madrid 3, Spain
M. A. Herrero
Affiliation:
Departamento de Ecuaciones Funcionales, Facultad de Matematicas, Universidad Complutense, Madrid 3, Spain
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 3-4 , 1981 , pp. 249 - 258
Copyright
Copyright © Royal Society of Edinburgh 1981

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