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Generalized dirichlet to neumann map for moving initialboundary value problems
| Content Provider | CiteSeerX |
|---|---|
| Author | Fokas, A. S. Pelloni, B. |
| Abstract | We present an algorithm for characterising the generalised Dirichlet to Neumann map for moving initial-boundary value problems. This algorithm is derived by combining the so-called global relation, which couples the initial and boundary values of the problem, with a new method for inverting certain one-dimensional integrals. This new method is based on the spectral analysis of an associated ODE and on the use of the d-bar formalism. As an illustration, the Neumann boundary value for the linearised Schrödinger equation is determined in terms of the Dirichlet boundary value and of the initial condition. 1 |
| File Format | |
| Journal | Journal of Mathematical Physics |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Initialboundary Value Problem New Method Linearised Schr Dinger Equation Neumann Boundary Value Boundary Value Certain One-dimensional Integral Associated Ode Neumann Map Initial Condition Dirichlet Boundary Value Generalised Dirichlet D-bar Formalism So-called Global Relation Spectral Analysis Initial-boundary Value Problem |
| Content Type | Text |
| Resource Type | Article |
