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Efendiyev, M.A.

Asymptotics of solutions of semilinear elliptic partial differential equations.

Adv. Math. Sci. Appl. 22, 239-258 (2012)
We consider some elliptic semilinear boundary value problem set either in the quadrant {χ1 >0} x {χN > 0} or in the halfspace {χ1 >0} if RN , and we classify the asymptotoc behavior of the solution as χ1 -> +. The dimension N is taken up to 5 or up to 4, according to the case, and the nonlinearity is of dissipative type. The proof are a combination of techniques borrowed from dynamical systems (to construct a global attractor of solutions) and from partial differential equations (to classify the limit profile of the solutions, to wit the elements of the global attractor).
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
ISSN (print) / ISBN 1343-4373
Journal Advances in Mathematical Sciences and Applications
Quellenangaben Volume: 22, Issue: 1, Pages: 239-258 Article Number: , Supplement: ,
Publisher Gakkōtosho
Publishing Place Tokyo
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)