Conjugate Cauchy Problem for Parabolic Shilov Type Systems with Nonnegative Genus

Conjugate Cauchy Problem for Parabolic Shilov Type Systems with Nonnegative Genus

The problem of solvability of the Gelfand–Shilov conjugate Cauchy problem for parabolic Shilov type systems with variable coefficients of bounded smoothness and nonnegative genus in the spaces S β is studied by constructing the fundamental solution of this problem and analyzing its basic properties....

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Veröffentlicht in:Differential equations 2018-03, Vol.54 (3), p.335-351
Hauptverfasser: Litovchenko, V. A., Unguryan, G. M.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Difference and Functional Equations
Differential equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Smoothness
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Zusammenfassung:The problem of solvability of the Gelfand–Shilov conjugate Cauchy problem for parabolic Shilov type systems with variable coefficients of bounded smoothness and nonnegative genus in the spaces S β is studied by constructing the fundamental solution of this problem and analyzing its basic properties.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266118030060