Schrödinger type equations with real-time variable and complex spatial variables

DOI10.1080/17476933.2011.593097zbMath1352.47048OpenAlexW2090914567MaRDI QIDQ4908718

Jerome A. Goldstein, Ciprian G. Gal, Sorin Gheorghe Gal

Publication date: 6 March 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.593097

zbMATH Keywords

convexitystarlikenessunivalenceSchrödinger equationspirallikenesshigher order Schrödinger equationcomplex spatial variablescomplex convolution integralsgroups of linear operators on locally convex spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Schrödinger operator, Schrödinger equation (35J10) Applications of operator theory to differential and integral equations (47N20) (C)-semigroups, regularized semigroups (47D60)

Cites Work

• Semigroups of operators in locally convex spaces
• Burgers and Black–Merton–Scholes equations with real time variable and complex spatial variable
• Evolution equations with real time variable and complex spatial variables
• Higher-order heat and Laplace-type equations with real time variable and complex spatial variable
• Functional Analysis

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