SEMILINEAR CALDERÓN PROBLEM ON STEIN MANIFOLDS WITH KÄHLER METRIC
| Autor: | Yilin Ma, Leo Tzou |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Structure (category theory) Boundary (topology) 01 natural sciences Domain (mathematical analysis) 010101 applied mathematics symbols.namesake Bounded function Metric (mathematics) symbols Uniqueness 0101 mathematics Stationary phase approximation Schrödinger's cat Mathematics |
| Zdroj: | Bulletin of the Australian Mathematical Society. 103:132-144 |
| ISSN: | 1755-1633 0004-9727 |
| DOI: | 10.1017/s0004972720000428 |
| Popis: | We extend existing methods which treat the semilinear Calderón problem on a bounded domain to a class of complex manifolds with Kähler metric. Given two semilinear Schrödinger operators with the same Dirchlet-to-Neumann data, we show that the integral identities that appear naturally in the determination of the analytic potentials are enough to deduce uniqueness on the boundary up to infinite order. By exploiting the assumed complex structure, this information allows us to apply the method of stationary phase and recover the potentials in the interior as well. |
| Databáze: | OpenAIRE |
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