scientific article; zbMATH DE number 5792649

zbMath1404.58053MaRDI QIDQ4930134

Mark R. Sepanski, Ronald J. Stanke

Publication date: 28 September 2010

Full work available at URL: http://www.heldermann.de/JLT/JLT20/JLT203/jlt20028.htm

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zbMATH Keywords

heat equationSchrödinger equationoscillator representation

Mathematics Subject Classification ID

Heat equation (35K05) Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Schrödinger operator, Schrödinger equation (35J10) Invariance and symmetry properties for PDEs on manifolds (58J70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Global actions of Lie symmetries for the nonlinear heat equation ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ Global \(\widetilde{\text{SL}(2,R)}\) representations of the Schrödinger equation with singular potential ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ Schrödinger-type equations and unitary highest weight representations of the metaplectic group ⋮ Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

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