On the local and global non-characteristic Cauchy problem when the solutions are holomorphic functions or analytic functionals in the space variables

DOI10.1007/BF02383643zbMath0222.35001MaRDI QIDQ2547664

Jan A. Persson

Publication date: 1971

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10)

Related Items

On the analytic continuation of the solution of the Cauchy problem for certain differential operators of principal part with polynomial coefficients, A remark on the domain of existence of the solution of the Cauchy problem for the differential operator with entire functions coefficients, The Cauchy problem at simply characteristic points and P-convexity, Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations, Partial hyperbolicity and partial Gevrey classes, Global and local goursat problems in a class of holomorphic or partially holomorphic functions, The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. II, Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\), On the supports of solutions of linear partial differential equations with analytic coefficients, A remark on the Cauchy problem for the differential operator of principal type with polynomial coefficients, A remark on the Cauchy problem for the differntial operator of principal type with polynomial coefficients. II

Cites Work

• Pseudo-Fokker Planck equations and hyperdifferential operators
• On the supports of solutions of linear partial differential equations with analytic coefficients
• On the Theory of Linear Partial Differential Operators with Analytic Coefficients
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