On the analytic continuation of holomorphic solutions of partial differential equations

DOI10.1007/BF02384476zbMath0482.35005MaRDI QIDQ1162650

Publication date: 1981

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

geometric characterization Cauchy- Kovalevskij theorem cones of analytic continuation point of local analytic continuation solutions with singularities

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Cauchy-Kovalevskaya theorems (35A10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (2)

Extension of Solutions to Holomorphic Partial Differential Equations ⋮ Characteristic Cauchy problems and analytic continuation of holomorphic solutions

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The Cauchy problem at simply characteristic points and P-convexity
Holomorphic continuation of solutions of partial differential equations across the multiple characteristic surface
Localization of differential operators and holomorphic continuation of the solutions
Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
On the prolongation of local holomorphic solutions of partial differential equations. II: Prolongation across the pluriharmonic hypersurface
On the prolongation of local holomorphic solutions of partial differential equations. III. Equations of the Fuchsian type
Local analytic continuation of holomorphic solutions of partial differential equations
The Cauchy problem and Hadamard's example
Irregularity of characteristic elements and hyperbolicity
Holomorphic continuation of solutions of degenerate partial differential equations in two variables
On the prolongation of local holomorphic solutions of partial differential equations
On uniqueness cones, velocity cones and P-convexity
Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols
Existence et prolongement des solutions holomorphes des équations aux dérivées partielles. (Existence and prolongation of the holomorphic solutions of partial differential equations)
On the prolongation of local holomorphic solutions of nonlinear partial differential equations
Prolongement des solutions d'une équation aux dérivées partielles à coefficients constants

This page was built for publication: On the analytic continuation of holomorphic solutions of partial differential equations