Rothe's method for a telegraph equation with integral conditions

DOI10.1016/j.na.2008.07.037zbMath1171.35306OpenAlexW2022042991MaRDI QIDQ1015821

J. Martínez

Publication date: 30 April 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.2008.07.037

zbMATH Keywords

weak solutiona priori estimatetelegraph equationexistence and uniqueness of the weak solutionsRothe time discretization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Theoretical approximation in context of PDEs (35A35)

Related Items (25)

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Cites Work

• On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
• Partial functional differential equation with an integral condition and applications to population dynamics
• Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
• Numerical method for a class of parabolic problems in composite media
• On the construction and the convergence of the method of lines for quasi-nonlinear functional evolutions in general banach spaces
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