A wave equation associated with mixed nonhomogeneous conditions: The compactness and connectivity of weak solution set

DOI10.1155/2007/20295zbMath1153.35355OpenAlexW2006858301MaRDI QIDQ2472060

Le Thi Phuong Ngoc, Nguyen Thanh Long

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54954

zbMATH Keywords

boundary integral equationunknown boundary value

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05)

Cites Work

• A wave equation associated with mixed nonhomogeneous conditions: global existence and asymptotic expansion of solutions
• Hukuhara-Kneser property for a nonlinear Dirichlet problem
• The Hukuhara-Kneser property for parabolic systems with nonlinear boundary conditions
• On a shock problem involving a linear viscoelastic bar
• Aronszajn's theorem for a parabolic partial differential equation
• The Hukuhara-Kneser property for quasilinear parabolic equations
• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• Structure of the set of solutions of an initial-boundary value problem for a parabolic partial differential equation in an unbounded domain
• Mathematical model for a shock problem involving a linear viscoelastic bar
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