Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part

DOI10.1007/978-1-4614-6348-1_7zbMath1277.35237OpenAlexW2229619337MaRDI QIDQ2848253

Todor Gramchev, Michael Ruzhansky

Publication date: 26 September 2013

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6348-1_7

zbMATH Keywords

Cauchy problemhyperbolic systemspseudo-differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for first-order hyperbolic systems (35L45) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (4)

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness ⋮ On \(C^\infty\) well-posedness of hyperbolic systems with multiplicities ⋮ Globally hypoelliptic triangularizable systems of periodic pseudo‐differential operators ⋮ Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis

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