New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes

DOI10.1016/j.jde.2017.08.012zbMath1382.35016arXiv1509.06165OpenAlexW2963842375MaRDI QIDQ2407133

Mark Craddock, Semyon B. Yakubovich

Publication date: 28 September 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06165

zbMATH Keywords

fundamental solutionsintegral equationsharmonic analysisCauchy problemshyperbolic PDEsintegral equations of non-convolution type

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Initial value problems for second-order hyperbolic equations (35L15) Singular integral equations (45E99) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Lie symmetry methods for local volatility models

Uses Software

• DLMF

Cites Work

• Global \(\widetilde{\text{SL}(2,R)}\) representations of the Schrödinger equation with singular potential
• On global \(\text{SL}(2,\mathbb R)\) symmetries of differential operators
• Lie symmetry methods for multi-dimensional parabolic PDEs and diffusions
• Lie group symmetries as integral transforms of fundamental solutions
• On the equivalence of Lie symmetries and group representations
• The calculation of expectations for classes of diffusion processes by Lie symmetry methods
• Fundamental solutions, transition densities and the integration of Lie symmetries
• 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
• Inequalities for generalized hypergeometric functions
• Fourier type transforms on Lie symmetry groups
• Symmetries and differential equations
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