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000726356 020__ $$a9789462391123$$qelectronic book
000726356 020__ $$a9462391122$$qelectronic book
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000726356 0247_ $$a10.2991/978-94-6239-112-3$$2doi
000726356 035__ $$aSP(OCoLC)ocn906025652
000726356 035__ $$aSP(OCoLC)906025652
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000726356 049__ $$aISEA
000726356 050_4 $$aQA377
000726356 08204 $$a515.353$$223
000726356 1001_ $$aAntont͡sev, S. N.$$q(Stanislav Nikolaevich),$$eauthor.
000726356 24510 $$aEvolution PDEs with nonstandard growth conditions$$h[electronic resource] :$$bexistence, uniqueness, localization, blow-up /$$cStanislav Antontsev, Sergey Shmarev.
000726356 264_1 $$aParis :$$bAtlantis Press,$$c2015.
000726356 300__ $$a1 online resource.
000726356 336__ $$atext$$btxt$$2rdacontent
000726356 337__ $$acomputer$$bc$$2rdamedia
000726356 338__ $$aonline resource$$bcr$$2rdacarrier
000726356 4901_ $$aAtlantis studies in differential equations,$$x2214-6261 ;$$vvolume 4
000726356 504__ $$aIncludes bibliographical references and index.
000726356 5050_ $$aThe function spaces -- A porous medium equation with variable nonlinearity -- Localization of solutions of the generalized Porous Medium Equation -- Anisotropic equations with variable growth and coercivity conditions -- Space localization of energy solutions -- Extinction in a finite time and the large time behavior -- Blow-up in equations with variable nonlinearity -- Equations with double isotropic nonlinearity -- Strong solutions of doubly nonlinear anisotropic equations -- Anisotropic equations with double nonlinearity: blow-up and vanishing -- Wave equation with p(x, t )-Laplacian -- Semilinear hyperbolic equations.
000726356 506__ $$aAccess limited to authorized users.
000726356 520__ $$aThis monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces, and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.
000726356 588__ $$aOnline resource; title from PDF title page (viewed April 8, 2015).
000726356 650_0 $$aDifferential equations, Parabolic.
000726356 650_0 $$aDifferential equations, Hyperbolic.
000726356 650_0 $$aQuasilinearization.
000726356 7001_ $$aShmarev, S. I.,$$eauthor.
000726356 77608 $$iPrint version:$$z9789462391116
000726356 830_0 $$aAtlantis studies in differential equations ;$$vv. 4.
000726356 852__ $$bebk
000726356 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.2991/978-94-6239-112-3$$zOnline Access$$91397441.1
000726356 909CO $$ooai:library.usi.edu:726356$$pGLOBAL_SET
000726356 980__ $$aEBOOK
000726356 980__ $$aBIB
000726356 982__ $$aEbook
000726356 983__ $$aOnline
000726356 994__ $$a92$$bISE