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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Reissig, Michael. (Editor), Ruzhansky, Michael. (Editor)
• Format: Electronic
• Language: English
• Published: Heidelberg : Springer International Publishing : Imprint: Springer, 2013.
• Series: Springer Proceedings in Mathematics & Statistics, 44
• Subjects: Mathematics.; Differentiable dynamical systems.; Differential Equations.; Differential equations, partial.; Partial Differential Equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Mathematical Applications in the Physical Sciences.; Mathematical Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-319-00125-8

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...

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<U+0013>Kuznetsov equation
• Singular semilinear elliptic equations with subquadratic gradient terms
• On the parabolic regime of a hyperbolic equation with weak dissipation: the coercive case
• HÆ 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.