Well-posedness of the Dirichlet and Poincaré problems for a multidimensional Gellerstedt equation in a cylindrical domain

DOI10.1007/S11253-012-0660-YzbMath1256.35157OpenAlexW2058696012MaRDI QIDQ1928469

Serik A. Aldashev

Publication date: 3 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0660-y

Mathematics Subject Classification ID

Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Well-posedness of the Dirichlet Problem for One Class of Degenerate Multi-dimensional Hyperbolic-parabolic Equations ⋮ Well-posedness of Dirichlet and Poincaré problems in a cylindrical domain for degenerate multidimensional hyperbolic equations with Gellerstedt operator

Cites Work

• Well-posedness of the Poincaré problem in a cylindrical domain for the higher-dimensional wave equation
• The Dirichlet problem for the wave equation
• The well-posedness of the Dirichlet problem in the cylindric domain for the multidimensional wave equation
• The Dirichlet problem for the vibrating string equation
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