L2 is a continuable initial condition for kreiss' mixed problems
From MaRDI portal
Publication:5633020
DOI10.1002/cpa.3160250305zbMath0226.35056OpenAlexW2076765255MaRDI QIDQ5633020
Publication date: 1972
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160250305
Related Items
Riccati equations for nonsymmetric and nondissipative hyperbolic systems with \(L_ 2\)-boundary controls ⋮ A direct study of the Riccati equation arising in hyperbolic boundary control problems ⋮ High level interior and boundary regularity results of the euler-bernoulli equation with application to differential riccati equations in optimal control1 ⋮ On the L^2 well posedness of Hyperbolic Initial Boundary Value Problems ⋮ A Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Transient Linear Hyperbolic Conservation Laws on Cartesian Grids ⋮ Superconvergence and \textit{a posteriori} error estimates of the DG method for scalar hyperbolic problems on Cartesian grids ⋮ Differential Riccati equations with unbounded coefficients: applications to boundary control/boundary observation hyperbolic problems ⋮ Analytic regularity of uniformly stable shock fronts with analytic data ⋮ A uniqueness theorem for nonlinear hyperbolic systems of elasticity and electromagnetism ⋮ Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems ⋮ Approximations of riccati equation for abstract boundary control problems applications to hyperbolic systems ⋮ Abstract initial boundary value problems ⋮ Boundary regularity for Maxwell's equations with applications to shape optimization ⋮ Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks ⋮ On mixed initial-boundary value problems for systems that are not strictly hyperbolic ⋮ The Leray-Gårding method for finite difference schemes ⋮ On the sharp regularity of solutions to hyperbolic boundary value problems ⋮ Initial-boundary value problems for incomplete singular perturbations of hyperbolic systems ⋮ The linear symmetric systems associated with the modified Cherednik operators and applications ⋮ Boundary conditions and boundary layers for a multi-dimensional relaxation model. ⋮ On the convolution operators arising in the study of abstract initial boundary value problems ⋮ Generalized symmetric systems and applications ⋮ Non-Homogeneous Boundary Value Problems for Linear Dispersive Equations ⋮ Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions ⋮ Spectral Methods for Periodic Initial Value Problems with Nonsmooth Data ⋮ Fully discrete hyperbolic initial boundary value problems with nonzero initial data ⋮ Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations ⋮ A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations ⋮ A nonlocal problem for a first-order partial differential equation ⋮ Initial-Boundary Value Problems for Hyperbolic Systems in Regions with Corners. I ⋮ Viscous limits for piecewise smooth solutions to systems of conservation laws ⋮ Mixed problem for hyperbolic systems of first order. II ⋮ Geometrical optics and the corner problem ⋮ Viscous limits for piecewise smooth solutions of the \(p\)-system ⋮ Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems ⋮ On the \(L^2\) and \(L^1\) convergence rates of viscous solutions of the Keyfitz-Kranzer system with piecewise smooth and large BV data ⋮ REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS ⋮ A Lifting Theorem for the Time Regularity of Solutions to Abstract Equations with Unbounded Operators and Applications to Hyperbolic Equations ⋮ Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates ⋮ On the stability definition of difference approximations for the initial boundary value problem ⋮ On Hyperbolic Initial-Boundary Value Problems with a Strictly Dissipative Boundary Condition ⋮ Mixed problems for the linearized shallow water equations ⋮ Unnamed Item ⋮ Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems ⋮ Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions ⋮ The inviscid limits to piecewise smooth solutions for a general parabolic system ⋮ Caractérisation des problèmes mixtes hyperboliques bien posés. (Characterization of well posed hyperbolic mixed problems) ⋮ Local energy decay of solutions of linearized shallow‐water equations ⋮ Hyperbolic equations and systems with multiple characteristics ⋮ A posteriori error analysis for stabilised finite element approximations of transport problems ⋮ Initial-boundary value problem for a class of linear relaxation systems in arbitrary space dimensions ⋮ Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane ⋮ Existence and uniqueness of solutions of a mixed problem for a symmetric hyperbolic system with discontinuous coefficients ⋮ Zero dissipation limit to rarefaction waves for the \(p\)-system ⋮ Well-posedness of hyperbolic initial boundary value problems ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations ⋮ Feedback boundary control problems for linear semigroups
Cites Work
