Uniqueness for the characteristic Cauchy problem and its applications

DOI10.3836/TJM/1270215037zbMath0528.35002OpenAlexW2047920886MaRDI QIDQ787015

Hitoshi Uryu

Publication date: 1982

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270215037

zbMATH Keywords

uniquenesscharacteristic Cauchy problemCarleman type estimateFuchsian partial differential operators

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for linear higher-order PDEs (35G10)

Related Items (7)

Construction de solutions nulles pour des opérateurs non Fuchsiens. (Construction of zero solutions of non-Fuchsian operators) ⋮ Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ 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 ⋮ Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics ⋮ Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators

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