The Solvability of Boundary Equations in Mixed Problems for Non-stationary Maxwell's System
โ Scribed by I. Yu. Chudinovich
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 341 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
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โฆ Synopsis
The work deals with boundary equations appearing if non-stationary problems for Maxwell system are solved with the help of surface-retarded potentials. The solvability of these equations is proved in some functional spaces of Sobolev type.
๐ SIMILAR VOLUMES
Under some natural hypothesis on the matrix P"(p GH ) that guarrantee the blow-up of the solution at time ยน, and some assumptions of the initial data u G , we find that if "" x """1 then u G (x , t)goestoinfinitylike(ยน!t) G /2 , where the G (0 are the solutions of (P!Id) ( , )R"(!1, !1)R. As a corol
In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ยธN #ยธN (1(p , p (R) is weakly co