A solvability criterion for the boundary-value problem for the transport equation and some corollaries
β Scribed by V.N. Levkin
- Publisher
- Elsevier Science
- Year
- 1989
- Weight
- 671 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0041-5553
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## Abstract We study the stability properties of the oneβdimensional SchrΓΆdinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a
This paper deals with model equations for linearly viscous materials. Viscosity is allowed to vary with temperature. The global solvability of an initial-boundary value problem for nonlinear equations is proved by continuation of a local solution with the help of a priori estimates. The main attenti