Self-similar singular solution of doubly singular parabolic equation with gradient absorption term.
Sheaves on subanalytic sites
Solitary wave and other solutions for nonlinear heat equations
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
Solution explicite du problème de Cauchy pour un opérateur hyperbolique à caractéristiques non régulières
Solution of a spectral problem for the curl operator on a cylinder.
Solutions classification to the extended reduced Ostrovsky equation.
Solutions to three-dimensional Navier-Stokes equations for incompressible fluids.
Some exact Solutions of the Korteweg-de Vries Equation with Variable Coefficients
Some Fractional Extensions of the Temperature Field Problem in Oil Strata
This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputo’s differintegration operator and the Laplace transform, new integral forms of the solutions are obtained. In each of the different cases the integrands are expressed...
Some properties of the Feynman-Kac functional.
Some solutions for a class of singular equations
In this paper we obtain all solutions which depend only on for a class of partial differential equations of higher order with singular coefficients.
Some sums of Legendre and Jacobi polynomials
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media.
Su certe equazioni astratte ultraparaboliche
Symmetry properties of a generalized Korteweg-de Vries equation and some explicit solutions.
Systémes de base des solutions polynomials concernant une classe d'équations polilinéaires d'ordre supérieur aux operateurs differents, dont certains sont les opérateurs polyvibrants.