Existence and invariance for parabolic functional equations
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## Abstract The Cauchy problem for nonlinear parabolic differentialβfunctional equations is considered. Under natural generalized Lipschitzβtype conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence __u__(__Β·__);