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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 3 / 2021 | |||||||
Article: |
GLOBAL NONEXISTENCE AND BLOW-UP RESULTS FOR A QUASI-LINEAR EVOLUTION EQUATION WITH VARIABLE-EXPONENT NONLINEARITIES. Authors: ABITA RAHMOUNE, BENABDERRAHMANE BENYATTOU. |
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Abstract: DOI: 10.24193/subbmath. 2021.3.11 Published Online: 2021-09-30 Published Print: 2021-09-30 pp. 553-566 VIEW PDF FULL PDF This research considers a class of quasi-linear parabolic equation with variable exponents: a(x,t)ut−Δm (.)u=f(u), in which fp(.)(u) the source term, a (x,t)>0 is a nonnegative function and the exponents of nonlinearity m(x), p(x) are given measurable functions. Under suitable conditions on the given data a finite-time blow-up result of solutions is proven if the initial datum possesses suitable positive energy and in this case, we precise estimate for the lifespan T*of the solution. A blow-up of the solutions with negative initial energy is also established. Mathematics Subject Classification (2010): 35K92, 35B44, 35A01. Keywords: Global nonexistence, quasi-linear evolution equation, Sobolev spaces with variable exponents, variable nonlinearity. |
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