Rothe's method to strongly damped wave equations

DOI10.1007/BF00992846zbMath0829.34049OpenAlexW2069277771MaRDI QIDQ1897270

Dhirendra Bahuguna

Publication date: 27 August 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00992846

zbMATH Keywords

existenceuniquenessBanach spacestrong solutionRothe's methodabstract differential equationstrongly damped equation with homogeneous Dirichlet type boundary conditions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Wave equation (35L05)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Nonlinear second order equations with applications to partial differential equations
• Rothe's method and weak solutions of perturbed evolution equations in reflexive Banach spaces
• Strongly damped semilinear equations
• Nonlinear semigroups and evolution equations
• Existence and Uniqueness of Solutions of Second Order Nonlinear Differential Equations
• Time Discretization of an Integro-Differential Equation of Parabolic Type
• Application of Rothe's method to evolution integrodifferential equations.
• Application of rothe’s method to nonlinear schrodinger type equations
• Rothe’s method to parabolic integra-differential equations via abstract integra-differential equations
• On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
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