On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral [PDF]
, 1996 Atsushi Inoue
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Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Fundamental solutions to a degenerate elliptic equation are found. Using these fundamental solutions, simple and double layer potentials are built.
R.M. Askhatov, R.N. Abaydullin
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Elastodynamic fundamental solutions for anisotropic solids [PDF]
, 1994 C.-Y. Wang, J. D. Achenbach
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Static Fundamental Solutions of Einstein Equations and Superposition Principle in Relativistic Gravityv [PDF]
, 2007 Plamen Fiziev
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Global estimates for the fundamental solution of homogeneous H\\"ormander\n operators [PDF]
, 2019 Stefano Biagi +2 more
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Averaging for Fundamental Solutions of Parabolic Equations
Journal of Differential Equations, 1997 Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,ε-dependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the fundamental solution of an “averaged” parabolic equation,
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The fundamental solution of the fractional p-laplacian [PDF]
, 2023 Leandro M. Del Pezzo, Alexander Quaas
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Fundamental Solutions of the Equations of Classical and Generalized Heat Conduction Models
Учёные записки Казанского университета: Серия Физико-математические наукиThis article presents the mathematical formulations of transient heat conduction problems corresponding to the models of classical heat conduction using the Fourier law and generalized heat conduction based on the Cattaneo–Vernotta–Lykov law (Maxwell ...
A. A. Orekhov +2 more
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Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature. [PDF]
Symmetry Integrability Geom Methods Appl, 2018 Cohl HS, Dang TH, Dunster TM.
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The symbol calculus for the fundamental solution of a degenerate parabolic system with applications [PDF]
, 1977 Kenzo Shinkai
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