A boundary element approach for parabolic differential equations using a class of particular solutions
โ Scribed by Marc S. Ingber; Nhan Phan-Thien
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 961 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0307-904X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Some sufficient condlt]ons are estabhshed for the oscillation of a class of neutral parabolic differential equations of the form, ## oN (u(x,t) --k~=l)~ku(x,t --Pk)) OtlV -a(t)&u+ Ep~(x,t)u(x,t--a~)-qj (x,t)u(x,t-Tj) where N is an odd number, f~ is a bounded domain in R M with a smooth boundary 0
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =โ(a(u)โu) + f(x; u; q; t) (q = |โu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio