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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Bibliographic Details
Published in:Differential equations Vol. 45; no. 6; pp. 836 - 861
Main Authors: Otelbaev, M., Zhapsarbaeva, L. K.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.06.2009
Springer Nature B.V
Subjects:
Cauchy problems
Difference and Functional Equations
Differential equations
Estimates
Hilbert space
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
Cauchy Problem
Strong Solution
Continuous Dependence
Hilbert Space
Parabolic Equation
ISSN:0012-2661, 1608-3083
Online Access:Get full text
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Description
Summary: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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ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109060068