LEADER 05535nam 22007335 450 001 9910438146903321 005 20220407215941.0 010 $a3-319-00125-6 024 7 $a10.1007/978-3-319-00125-8 035 $a(CKB)2550000001045696 035 $a(EBL)1205644 035 $a(SSID)ssj0000879569 035 $a(PQKBManifestationID)11459103 035 $a(PQKBTitleCode)TC0000879569 035 $a(PQKBWorkID)10852216 035 $a(PQKB)10261451 035 $a(DE-He213)978-3-319-00125-8 035 $a(MiAaPQ)EBC1205644 035 $a(PPN)169137422 035 $a(EXLCZ)992550000001045696 100 $a20130331d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProgress in partial differential equations $easymptotic profiles, regularity and well-posedness /$fedited by Michael Reissig, Michael Ruzhansky 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (447 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v44 300 $aInclude index. 311 $a3-319-03342-5 311 $a3-319-00124-8 327 $aPreface -- Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term -- Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations -- On internal regularity of solutions to the initial value problem for the Zakharov?Kuznetsov equation -- Singular semilinear elliptic equations with subquadratic gradient terms -- On the parabolic regime of a hyperbolic equation with weak dissipation: the coercive case -- H„ well-posedness for degenerate p-evolution models of higher order with time-dependent coefficients -- On the global solvability for semilinear wave equations with smooth time dependent propagation speeds -- Filippov Solutions to Systems of Ordinary Differential Equations with Delta Function Terms as Summands -- Resolvent estimates and scattering problems for Schršodinger, Klein-Gordon and wave equations -- On an Optimal Control Problem for the Wave Equation in One Space Dimension Controlled by Third Type Boundary Data -- Critical exponent for the semilinear wave equation with time or space dependent damping -- A note on a class of conservative, well-posed linear control systems -- Recent progress in smoothing estimates for evolution equations -- Differentiability of Inverse Operators -- Quasi-symmetrizer and hyperbolic equations -- Solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation by the method of fractional integrals -- Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime. 330 $aProgress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The reader will find this an excellent resource of both introductory and advanced material. The key topics are: ? Linear hyperbolic equations and systems (scattering, symmetrisers) ? Non-linear wave models (global existence, decay estimates, blow-up) ? Evolution equations (control theory, well-posedness, smoothing) ? Elliptic equations (uniqueness, non-uniqueness, positive solutions) ? Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity). 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v44 606 $aPartial differential equations 606 $aDifferential equations 606 $aDynamics 606 $aErgodic theory 606 $aMathematical physics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aPartial differential equations. 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aMathematical physics. 615 14$aPartial Differential Equations. 615 24$aOrdinary Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aMathematical Physics. 676 $a515.353 702 $aReissig$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRuzhansky$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910438146903321 996 $aProgress in partial differential equations$9348519 997 $aUNINA