Uniqueness in the Cauchy problem for characteristic operators of Fuchsian type

DOI10.1016/0022-0396(80)90014-5zbMath0431.35003OpenAlexW2104453746MaRDI QIDQ1138146

Gary B. Roberts

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90014-5

zbMATH Keywords

characteristic rootslocal uniqueness of solutionsCarleman inequality with weight functioncharacteristic operators of Fuchsian typeinitial hypersurfaceLevi-type conditionuniqueness in the Cauchy problem

Mathematics Subject Classification ID

Related Items (10)

Construction de solutions nulles pour des opérateurs non Fuchsiens. (Construction of zero solutions of non-Fuchsian operators) ⋮ Existence of quasinormal modes for Kerr-AdS black holes ⋮ Condition Is Not sufficient for uniqueness in the cauchy problem ⋮ Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ Uniqueness of the cauchy problem for elliptic operators with fourfold characteristics of constant multiplicity ⋮ Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. II ⋮ Non—uniqueness in the cauchy problem for partial differential operators with chatacteristics I ⋮ Existence and non-existence of null-solutions for some non-Fuchsian partial differential operators with T-dependent coefficients ⋮ On quasinormal modes of asymptotically anti-de Sitter black holes ⋮ Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type

Cites Work

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• Uniqueness of solutions of the Cauchy problem for linear partial differential equations with characteristics of constant multiplicity
• Unique continuation of solutions of partial differential equations and inequalities from manifolds of any dimension
• Pseudo-differential operators and non-elliptic boundary problems
• Fourier integral operators. I
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
• Problèmes de Cauchy pour des opérateurs singuliers
• A Link Between Solvability of Pseudodifferential Equations and Uniqueness in the Cauchy Problem
• Cauchy problems with characteristic initial hypersurface

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