The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces

DOI10.1016/j.jde.2006.03.018zbMath1103.47035OpenAlexW2011529148MaRDI QIDQ852694

Valentin Keyantuo, Mahamadi Warma

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.03.018

zbMATH Keywords

Wentzell-Robin boundary conditionsWave equationCosine functionIntegrated semigroups

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Initial value problems for second-order hyperbolic equations (35L15) Integrated semigroups (47D62)

Related Items (12)

Perturbation theory for abstract Volterra equations ⋮ Integral type Cauchy problem for abstract wave equations and applications ⋮ Second order differential operators with Feller-Wentzell type boundary conditions ⋮ Separable differential operators with parameters ⋮ Navier-Stokes problems with small parameters in half-space and application ⋮ Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions ⋮ Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem ⋮ Regularity properties of Schrödinger equations in vector-valued spaces and applications ⋮ Perturbing the boundary conditions of the generator of a cosine family ⋮ The Cauchy problem for Boussinesq equations with general elliptic part ⋮ Linear and nonlinear degenerate differential operators and applications ⋮ Damped wave equations with dynamic boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abstract wave equations with generalized Wentzell boundary conditions
• Generalized second order differential operators and their lateral conditions
• The wave equation in \(L^{p}\)-spaces
• The Robin and Wentzell-Robin Laplacians on Lipschitz domains
• The heat equation with nonlinear general Wentzell boundary condition
• \(L^p\) estimates for the waves equation
• The Cauchy problem for higher-order abstract differential equations
• A solution to an open problem for wave equations with generalized Wentzell boundary conditions
• The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
• The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions
• The heat equation with generalized Wentzell boundary condition.
• Wentzell-Robin boundary conditions on \(C[0,1\)]
• The Laplace transform and the ascent method for abstract wave equations
• Integrated semigroups and differential operators on \(L^ p\) spaces
• The parabolic differential equations and the associated semigroups of transformation
• Trace theorems for holomorphic semigroups and the second order Cauchy problem
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions

This page was built for publication: The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces