Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities
β Scribed by A. A. Kiselev; B. S. Pavlov
- Book ID
- 112459721
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1994
- Tongue
- English
- Weight
- 629 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0040-5779
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π SIMILAR VOLUMES
This note establishes the blow up estimates near the blow up time for a system of heat equations coupled in the boundary conditions. Under certain assumptions, the exact rate of blow up is established. We also prove that the only solution with vanishing initial values when pq G 1 is the trivial one.
The existence and multiplicity of weak solutions is established for a class of concave-convex elliptic systems of the form: R 2 \ {(0, 0)}, the weight m(x) is a positive bounded function and a(x), b(x) β C (β¦) are functions which change sign in β¦. Our technical approach is based on the Nehari manifo