Friday, May 3, 2019 - 14:15 in D5-153
Limiting Absorption Principles and applications to Nonlinear Helmholtz equation
A talk in the Oberseminar Analysis series by
Rainer Mandel
| Abstract: |
In this talk I will present new $L^p$-resolvent estimates and
corresponding Limiting Absorption Principles for certain elliptic
differential operators. These are used to prove the existence of
localized, mildly decaying solutions of nonlinear Helmholtz equations
and to provide simple counterexamples to Strichartz estimates of the
associated linear Schrödinger equations.
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