BOUNDARY TRACE OF POSITIVE SOLUTIONS OF N ONLINEAR PARABOLIC AND ELLIPTIC-EQUATIONS - EXISTENCE AND UNIQUENESS RESULTS

Authors
MARCUS M VERON L
Citation
M. Marcus et L. Veron, BOUNDARY TRACE OF POSITIVE SOLUTIONS OF N ONLINEAR PARABOLIC AND ELLIPTIC-EQUATIONS - EXISTENCE AND UNIQUENESS RESULTS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(6), 1996, pp. 603-608
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
6
Year of publication
1996
Pages
603 - 608
Database
ISI
SICI code
0764-4442(1996)323:6<603:BTOPSO>2.0.ZU;2-D
Abstract
Let B be the unit open ball of R(N) with boundary partial derivative B , S a closed of partial derivative B and mu a nonnegative Radon measur e on R = partial derivative B\S. We prove some existence and uniquenes s results of a positive solution of (EE): -Delta u + u(q) = 0 in B who se boundary trace is (S, mu) Similar results dealing with the initial trace of the positive solutions of (EP): u(t) - Delta u + u(q) = 0 are obtained.