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Existence and invariance for parabolic functional equations

✍ Scribed by J. Bebernes; R. Ely


Book ID
107967230
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
660 KB
Volume
7
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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A general Hilbert-space-based stochastic averaging theory is brought forth herein for arbitrary-order parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions on t u = (t, x)= : which are slightly stronger than those required to prove pathwise exist

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✍ Agnieszka Bychowska πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 188 KB

## Abstract The Cauchy problem for nonlinear parabolic differential‐functional equations is considered. Under natural generalized Lipschitz‐type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence __u__(__Β·__);