The radiation problem for the Schrödinger operator in some domains with noncompact boundaries
Neittaanmäki, P. & Saranen, J. (1982). The radiation problem for the Schrödinger operator in some domains with noncompact boundaries. Commentationes Physico-Mathematicae 52, 1-14.
Published inCommentationes Physico-Mathematicae
© Societas Scientiarum Fennica
Showing items with similar title or keywords.
Neittaanmäki, Pekka; Pennanen, Anssi; Tiba, Dan (IOP Publishing, 2009)Fixed domain methods have well-known advantages in the solution of variable domain problems including inverse interface problems. This paper examines two new control approaches to optimal design problems governed by general ...
Cekić, Mihajlo; Lin, Yi-Hsuan; Rüland, Angkana (Springer, 2020)We investigate the Calderón problem for the fractional Schrödinger equation with drift, proving that the unknown drift and potential in a bounded domain can be determined simultaneously and uniquely by an infinite number ...
Covi, Giovanni (Institute of Physics, 2020)This paper shows global uniqueness in an inverse problem for a fractional magnetic Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is uniquely determined up to a natural gauge by infinitely ...
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther (Mathematical Sciences Publishers, 2020)We show global uniqueness in an inverse problem for the fractional Schrödinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of solutions. We also show global uniqueness ...
Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities Lu, Shuai; Salo, Mikko; Xu, Boxi (IOP Publishing, 2022)We consider increasing stability in the inverse Schrödinger potential problem with power type nonlinearities at a large wavenumber. Two linearization approaches, with respect to small boundary data and small potential ...