Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs

DOI10.1007/BF00047214zbMath0733.35002OpenAlexW2004618492MaRDI QIDQ810258

Elemer E. Rosinger

Publication date: 1990

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047214

zbMATH Keywords

global solutionsgeneralized functionsanalytic differential equationnoncharacteristic Cauchy data

Mathematics Subject Classification ID

Related Items (7)

How to solve smooth nonlinear pdes in algebras of generalized functionswith dense singularities ⋮ The order completion method for systems of nonlinear PDEs: solutions of initial value problems ⋮ Differential algebras of generalised functions with dense singularities ⋮ Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem ⋮ Characterization for the Solvability of Nonlinear Partial Differential Equations ⋮ Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory

Cites Work

• Attractors for damped nonlinear hyperbolic equations
• Distributions and nonlinear partial differential equations
• Infinite-dimensional dynamical systems in mechanics and physics
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