Construction of the fundamental solution for the operator of internal waves
β Scribed by S.Ia. Sekerzh-Zen'kovich
- Book ID
- 107774863
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 505 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
Let L be the LAME operator defined by Lu = n u + p grad div u ( p > 0, u = = (ul, u,, u ~) ~) . We denote the fundamental solution of L by E = (Eij)i<j= 1,2,3. By Ei = (Eli, E,,, E3i)T(i = 1, 2, 3) we denote the column vectors of E. Let r be the Cm-smooth boundary of a bounded domain 52 c R3 with c
## Abstract We use the method proposed by H. Kumanoβgo in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudoβdifferential operator with symbol in the class introduced by W. Hoh