The Cauchy-Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition

DOI10.1016/J.JMAA.2016.04.043zbMath1338.35278OpenAlexW2341690386MaRDI QIDQ281863

Vincenzo Esposito, Annamaria Barbagallo

Publication date: 11 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.043

zbMATH Keywords

Sobolev spacesenergy estimatesexistenceuniqueness

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45)

Related Items (4)

On the Cauchy problem for a class of hyperbolic operators with triple characteristics ⋮ The Cauchy-Neumann and Cauchy-Robin problems for a class of hyperbolic operators with double characteristics in presence of transition ⋮ Existence results for the mixed Cauchy-Dirichlet problem for a class of hyperbolic operators ⋮ A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition

Cites Work

• Unnamed Item
• Unnamed Item
• A global existence and uniqueness result for a class of hyperbolic operators
• The Cauchy problem for effectively hyperbolic operators
• The Cauchy problem for effectively hyperbolic equations (a special case)
• Local energy integrals for effectively hyperbolic operators. I
• The hyperbolic Cauchy problem
• The Cauchy problem for differential equations with double characteristics
• Geometric results for a class of hyperbolic operators with double characteristics. II
• On the Cauchy problem for a class of hyperbolic equations with double characteristics. A priori estimates and existence results
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition
• LOCAL AND MICROLOCAL CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS

This page was built for publication: The Cauchy-Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition