On the supports of solutions of linear partial differential equations with analytic coefficients

DOI10.1007/BF02428815zbMath0227.35007MaRDI QIDQ2549420

Jan A. Persson

Publication date: 1972

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Cauchy-Kovalevskaya theorems (35A10)

Related Items (5)

The Cauchy problem at simply characteristic points and P-convexity ⋮ Partial hyperbolicity and partial Gevrey classes ⋮ On uniqueness cones, velocity cones and P-convexity ⋮ The local Cauchy problem in \(R^2\) at a point where two characteristic curves have a common tangent ⋮ On the local and global non-characteristic Cauchy problem when the solutions are holomorphic functions or analytic functionals in the space variables

Cites Work

• Système kowalewskiens
• Uniqueness of the Cauchy problem when the initial surface contains characteristic points
• On the Cauchy problem for Kowalewski systems
• On the uniqueness of solutions of the global Cauchy problem for a Kovalevskaya system
• Propagation of zeroes and uniqueness in the Cauchy problem for first order partial differential equations
• On the local and global non-characteristic Cauchy problem when the solutions are holomorphic functions or analytic functionals in the space variables
• The Fourier transform on L\(1 \over loc\) and its application to Cauchy problems for linear partial differential equations
• Les équations d'évolution liées au produit de composition
• On Cauchy's problem for a linear system of partial differential equations of first order
• An Application of Holmgren's Theorem and Convexity with Respect to Differential Operators with Flat Characteristic Cones
• On linear partial differential equations with analytic coefficients unique continuation of data
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