Cauchy-Dirichlet problem for second-order hyperbolic equations in cylinders with non-smooth base

DOI10.1016/j.na.2008.01.007zbMath1151.35317OpenAlexW2003114772MaRDI QIDQ2518116

Jen-Chih Yao, Nguyen Manh Hung

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.007

zbMATH Keywords

generalized solutionsmoothnessnon-smooth domainsdomains with a conical point on the boundarystrongly hyperbolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points ⋮ On the asymptotic formulas of solutions to the boundary value problem without initial condition for Schrödinger systems in domain with conical points ⋮ Cauchy–Neumann problem for second-order hyperbolic equations in cylinders with base containing conical points ⋮ On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points ⋮ On initial-boundary value problems for hyperbolic equations in domains with conical points

Cites Work

• On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points
• Existence Theorems in Linear and Semi-Linear Elasticity
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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