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Conditions for existence of a global strong solution to one class of nonlinear evolution equations in Hilbert space

โœ Scribed by M. Otelbaev; A. A. Durmagambetov; Ye. N. Seitkulov


Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
183 KB
Volume
49
Category
Article
ISSN
0037-4466

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โœ Jaime E Muรฑoz Rivera ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 853 KB

In this paper we will consider the equation where The initial value problem is proved to be locally well posed for initial data taken in D(A 2 )\_D(A 3ร‚2 ) and globally well posed for small data, in this case we also show the exponential decay of the solution as time goes to infinity. The main res