Fully Non-linear Neumann Type Boundary Conditions for Second-Order Elliptic and Parabolic Equations
β Scribed by G. Barles
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 569 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-0396
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## Abstract A linearized threeβlevel difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and secondβorder convergent in __L__~__
The paper deals with spectral properties of elliptic operators of second order in irregular unbounded domains with cusps. The eigenvalue asymptotic of the operator with Neumann boundary conditions is proved. The eigenvalue asymptotic in these domains is different from that with Dirichlet boundary co