Symmetry group methods for heat kernels

DOI10.1063/1.1316763zbMath1063.35516OpenAlexW2036790042MaRDI QIDQ2774667

M. J. Craddock, Anthony H. Dooley

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1316763

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie groups (22E99)

Related Items (9)

Fundamental solutions for the two dimensional affine group and \(\mathbb{H}^{n + 1}\) ⋮ Equivalence and symmetries for variable coefficient linear heat type equations. I ⋮ Equivalence and symmetries for variable coefficient linear heat type equations. II. Fundamental solutions ⋮ The Schrödinger propagator on \((0,\infty)\) for a special potential by a Lie symmetry group method ⋮ Symmetry group methods for fundamental solutions ⋮ On the equivalence of Lie symmetries and group representations ⋮ The calculation of expectations for classes of diffusion processes by Lie symmetry methods ⋮ Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation ⋮ Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

Cites Work

• Representations of differential operators on a Lie group
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Symmetry groups of partial differential equations, separation of variables, and direct integral theory
• The symmetry groups of linear partial differential equations and representation theory. I
• Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation
• Die Resolvente von Delta auf symmetrischen Räumen vom nichtkompakten Typ
• Analysis on Lie groups

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