Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data | Zendy

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Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data

Author(s) -

Liang Li

Publication year - 2015

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2015.9.469

Subject(s) - initial value problem , stability (learning theory) , cauchy problem , cauchy distribution , mathematics , inverse problem , schrödinger equation , mathematical analysis , inverse , omega , physics , computer science , quantum mechanics , geometry , machine learning

Click on the DOI link to access the article at the publisher's website.To show increasing stability in the problem of recovering potential c is an element of C-1 (Omega) in the Schrodinger equation with the given partial Cauchy data when energy frequency k is growing, we will obtain some bounds for c which can be viewed as an evidence of such phenomenon. The proof uses almost exponential solutions and methods of reflection.NSF grant DMS 10-08902

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