A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of \(R^ 2\).
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Publication:1171700
zbMath0499.35021MaRDI QIDQ1171700
Publication date: 1980
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_1980__63__83_0
Cauchy-Kovalevskaya theorems (35A10) Convexity properties of solutions to PDEs with constant coefficients (35E10) Real-analytic manifolds, real-analytic spaces (32C05)
Related Items (3)
Inheritance of surjectivity for partial differential operators on spaces of real analytic functions ⋮ A link between \(C^\infty\) and analytic solvability for P.D.E. with constant coefficients ⋮ A functional-analytic technique for the study of analytic solutions of PDEs
Cites Work
- On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations
- Propagation of analyticity of solutions of partial differential equations with constant coefficients
- On the global existence of real analytic solutions of linear differential equations. I
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