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- Title
Cauchy problem for one class of pseudodifferential systems with entire analytic symbols.
- Authors
Litovchenko, V.
- Abstract
Using functions convex downward, we describe a class of pseudodifferential systems with entire analytic symbols that contains Éidel’man parabolic systems of partial differential equations with continuous time-dependent coefficients. We prove a theorem on the correct solvability of the Cauchy problem for these systems in the case where initial data are generalized functions. We also establish the principle of localization of a solution of this problem.
- Subjects
CAUCHY problem; PARTIAL differential equations; BESSEL functions; MATHEMATICAL functions; MATHEMATICAL analysis
- Publication
Ukrainian Mathematical Journal, 2006, Vol 58, Issue 9, p1369
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-006-0138-x