WELL-POSED INITIAL-BOUNDARY VALUE PROBLEM FOR A CONSTRAINED EVOLUTION SYSTEM AND RADIATION-CONTROLLING CONSTRAINT-PRESERVING BOUNDARY CONDITIONS

DOI10.1142/S0219891607001276zbMath1147.35103arXivgr-qc/0611011MaRDI QIDQ5386907

Alexander M. Alekseenko

Publication date: 14 May 2008

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0611011

zbMATH Keywords

energy estimateconstraint equationsInitial boundary value problemsconstraint-preserving boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (1)

Continuum and discrete initial-boundary value problems and Einstein's field equations

Cites Work

• Unnamed Item
• Scattering theory for dissipative hyperbolic systems
• The initial boundary value problem for Einstein's vacuum field equation
• Well posed constraint-preserving boundary conditions for the linearized Einstein equations
• A remedy for constraint growth in numerical relativity: the Maxwell case
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• Numerical integration of Einstein’s field equations
• Local boundary conditions for dissipative symmetric linear differential operators
• BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS
• Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
• Coercive inequalities for nonelliptic symmetric systems
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• Einstein’s equations with asymptotically stable constraint propagation
• A MODEL PROBLEM FOR THE INITIAL-BOUNDARY VALUE FORMULATION OF EINSTEIN'S FIELD EQUATIONS
• Problems which are well posed in a generalized sense with applications to the Einstein equations

This page was built for publication: WELL-POSED INITIAL-BOUNDARY VALUE PROBLEM FOR A CONSTRAINED EVOLUTION SYSTEM AND RADIATION-CONTROLLING CONSTRAINT-PRESERVING BOUNDARY CONDITIONS