Continuous dependence of the solution of a parabolic equation in a Hilbert space on the parameters and initial data

Continuous dependence of the solution of a parabolic equation in a Hilbert space on the parameters and initial data

We present classes of equations for which weak a priori estimates hold and prove the global strong solvability of one system of equations.

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Veröffentlicht in:Differential equations 2009-06, Vol.45 (6), p.836-861
Hauptverfasser: Otelbaev, M., Zhapsarbaeva, L. K.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Difference and Functional Equations
Differential equations
Estimates
Hilbert space
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
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Beschreibung
Zusammenfassung:We present classes of equations for which weak a priori estimates hold and prove the global strong solvability of one system of equations.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109060068