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Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on R-N

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dc.contributor.author Papadopoulos, PG en
dc.contributor.author Stavrakakis, NM en
dc.date.accessioned 2014-03-01T01:28:03Z
dc.date.available 2014-03-01T01:28:03Z
dc.date.issued 2008 en
dc.identifier.issn 0003-6811 en
dc.identifier.uri http://hdl.handle.net/123456789/18685
dc.subject quasilinear hyperbolic equations en
dc.subject Kirchhoff strings en
dc.subject global attractor en
dc.subject unbounded domains en
dc.subject generalised sobolev spaces en
dc.subject weighted L-p spaces en
dc.subject.classification Mathematics, Applied en
dc.subject.other NONLINEAR HYPERBOLIC-EQUATIONS en
dc.subject.other WAVE-EQUATIONS en
dc.subject.other GLOBAL EXISTENCE en
dc.subject.other ATTRACTORS en
dc.title Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on R-N en
heal.type journalArticle en
heal.identifier.primary 10.1080/00036810601127418 en
heal.identifier.secondary http://dx.doi.org/10.1080/00036810601127418 en
heal.language English en
heal.publicationDate 2008 en
heal.abstract We consider the quasilinear nonlocal dissipative Kirchhoff String problem u(u)-phi(x) vertical bar vertical bar x Delta u + delta u(t) + f(u) = 0, x is an element of R-N, t >= 0, with the initial conditions u(x, 0) = u(0)(x) and u(t)(x, 0) = u(1)(x), in the case where N >= 3, delta >= 0, f(u) = |u|(a)u for example, and (phi(x))(-1) is an element of L-N/2(R-N) boolean AND L-infinity(R-N) is a positive function. The purpose of our work is to study the long-time behaviour of the solution of this equation. The compactness of the embeddings D(A) subset of D-1,D-2 (R-N) subset of L-g(2) (R-N) is widely applied. en
heal.publisher TAYLOR & FRANCIS LTD en
heal.journalName APPLICABLE ANALYSIS en
dc.identifier.doi 10.1080/00036810601127418 en
dc.identifier.isi ISI:000253642600001 en
dc.identifier.volume 87 en
dc.identifier.issue 2 en
dc.identifier.spage 133 en
dc.identifier.epage 148 en


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