BLOW UP OF SOLUTIONS FOR VISCOELASTIC WAVE EQUATIONS OF KIRCHHOFF TYPE WITH ARBITRARY POSITIVE INITIAL ENERGY
dc.contributor.author | Piskin, Erhan | |
dc.contributor.author | Fidan, Ayse | |
dc.date.accessioned | 2024-04-24T17:44:31Z | |
dc.date.available | 2024-04-24T17:44:31Z | |
dc.date.issued | 2017 | |
dc.department | Dicle Üniversitesi | en_US |
dc.description.abstract | In this article we consider the nonlinear Viscoelastic wave equations of Kirchh off type u(tt) - M(parallel to del u parallel to(2))Delta u + integral(t)(0) g(1)(t - tau)Delta u(tau)d tau + u(t) = (p + 1)vertical bar v vertical bar(q+1)vertical bar u vertical bar(p-1) u, u(tt) - M(parallel to del v parallel to(2))Delta v + integral(t)(0) g(2)(t - tau)Delta v(tau)d tau + v(t) = (q + 1)vertical bar u vertical bar(p+1)vertical bar v vertical bar(q-1) v, with initial conditions and Dirichlet boundary conditions. We proved the global nonexistence of solutions by applying a lemma by Levine, and the concavity method. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/11468/22121 | |
dc.identifier.wos | WOS:000412327000003 | |
dc.identifier.wosquality | Q2 | |
dc.indekslendigikaynak | Web of Science | |
dc.language.iso | en | en_US |
dc.publisher | Texas State Univ | en_US |
dc.relation.ispartof | Electronic Journal of Differential Equations | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Blow Up | en_US |
dc.subject | Viscoelastic Wave Equation | en_US |
dc.subject | Arbitrary Positive Initial Energy | en_US |
dc.title | BLOW UP OF SOLUTIONS FOR VISCOELASTIC WAVE EQUATIONS OF KIRCHHOFF TYPE WITH ARBITRARY POSITIVE INITIAL ENERGY | en_US |
dc.title | BLOW UP OF SOLUTIONS FOR VISCOELASTIC WAVE EQUATIONS OF KIRCHHOFF TYPE WITH ARBITRARY POSITIVE INITIAL ENERGY | |
dc.type | Article | en_US |