Existence and non-existence of null-solutions for some non-Fuchsian partial differential operators with T-dependent coefficients

DOI10.1017/S0027763000003561zbMath0734.35011MaRDI QIDQ3361203

Takeshi Mandai

Publication date: 1991

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existencenon-existenceunique continuation principlenull-solutionessentially non-Fuchsian operators

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Linear higher-order PDEs (35G05)

Related Items (10)

Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems ⋮ On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities ⋮ On singular solutions to PDEs with turning point involving a quadratic nonlinearity ⋮ Gevrey asymptotics for logarithmic-type solutions to singularly perturbed problems with nonlocal nonlinearities ⋮ On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations ⋮ On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities ⋮ On the summability of formal solutions for doubly singular nonlinear partial differential equations ⋮ On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms ⋮ On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces ⋮ On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems

Cites Work

• On the initial-value problems with data on a characteristic hypersurface
• Structure properties of solutions of some Fuchsian hyperbolic equations
• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators
• Non-unicité dans le problème de Cauchy caractéristique - cas de type de Fuchs
• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators. II
• Uniqueness in the Cauchy problem for characteristic operators of Fuchsian type
• On the prolongation of local holomorphic solutions of partial differential equations. III. Equations of the Fuchsian type
• Systems of differential equations with regular singularities and their boundary value problems
• Differentiable solutions to degenerate systems of ordinary equations
• Les equations aux derivees partielles ayant des surfaces caracteristiques dutype de fuchs
• CAUCHY PROBLEMS WITH MULTIPLE CHARACTERISTICS IN SPACES OF REGULAR DISTRIBUTIONS
• Cauchy problems with characteristic initial hypersurface

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