Progress in Partial Differential Equations Asymptotic Profiles, Regularity and Well-Posedness

Progress 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 par...

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Bibliographic Details
Other Authors: Reissig, Michael (Editor), Ruzhansky, Michael (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2013, 2013
Edition:1st ed. 2013
Series:Springer Proceedings in Mathematics & Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 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 Schr¨odinger, 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