Schrödinger equation with singular position dependent mass
Ruzhansky M. Sebih M.E. Tokmagambetov N.
13 October 2023European Mathematical Society Publishing House
Zeitschrift für Analysis und ihre Anwendungen
2023#42Issue 1131 - 144 pp.
We consider the Schrödinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate sense; moreover, we prove the consistency with the classical theory. In particular, this allows one to consider ı-like or more singular masses.
Cauchy problem , position dependent effective mass , regularisation , Schrödinger equation , singular mass , weak solution
Text of the article Перейти на текст статьи
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, Ghent, B 9000, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Laboratory of Geomatics, Ecology and Environment (LGEO2E), Mustapha Stambouli University of Mascara, Mascara, 29000, Algeria
Centre de Recerca Matemática, Edifici C, Campus Bellaterra, Bellaterra, Barcelona, 08193, Spain
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Laboratory of Geomatics
Centre de Recerca Matemática
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026