Well-posedness of the Cauchy problem for hyperbolic equations with non-Lipschitz coefficients

DOI10.1155/2009/182371zbMath1176.35110OpenAlexW2141315603WikidataQ58646545 ScholiaQ58646545MaRDI QIDQ1035053

Akbar B. Aliev, Gulnara D. Shukurova

Publication date: 10 November 2009

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

Full work available at URL: https://eudml.org/doc/45640

zbMATH Keywords

anisotropic elliptic part

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

THE WELL-POSEDNESS OF THE MIXED PROBLEM FOR ONE SYSTEM OF THERMOELASTICITY WITH A SINGULAR COEFFICIENT

Cites Work

• Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem
• Loss of regularity for second order hyperbolic equations with singular coefficients
• Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients
• Hyperbolic operators with non-Lipschitz ceofficients
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