Results 131 to 140 of about 12,187,697 (193)

Singular solutions of a characteristic Goursat problem with discontinuous data

Complex Variables and Elliptic Equations, 2021
In this paper, we consider the characteristic Goursat problem with regular singular data for a class of linear partial differential equations of second order in the complex domain. We give an explicit representation of the solutions. Such representations
A. Bentrad
semanticscholar   +1 more source

Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition

Complex Variables and Elliptic Equations, 2020
In this paper we investigate solutions to the characteristic Goursat problem with analytic data for a class of linear operators of second order without the Levi's generalized condition.
A. Bentrad
semanticscholar   +1 more source

A nonlinear goursat problem with irregular data

Integral Transforms and Special Functions, 1998
With the help of differential algebras of(C,Ep)-type, we construct an algebra of generalized functions which allows us to solve a Gourmet problem with irregular data. For this problem, we perform a qualitative study when the data are Dirac functions.
Nuiro, Silvere, Marti, Jean-André, Valmorin, Vincent   +2 more
openaire   +2 more sources

Multidimensional goursat problem for semilinear hyperbolic equations

Applied Mathematics, 1996
We are concerned with the following fully semilinear Goursat problem \[ Pu= f(x, t, u, \nabla u),\quad (x, t)\in \Gamma,\quad u|_{\partial \Gamma}= 0, \] where \((x, t)\in \mathbb{R}^3\), \(P\equiv P(x, t, \partial_{x_1}, \partial_{x_2}, \partial_t)= \partial^2_t+ \sum^2_{|\alpha|= 1} a_\alpha(x, t) \partial^\alpha \partial^{2- |\alpha|}+ R_1\).
Fang, Daoyuan, Gong, Xiaoqing
openaire   +1 more source

Existence and uniqueness of C1 solution to the Goursat problem for the dusty gas flow

Journal of Mathematics and Physics
This work investigates the interaction of backward and forward rarefaction waves for the one-dimensional isentropic dusty gas flow. Mathematically, this type of problem involves Goursat boundary value problem.
Radhanandan Mandal, M. Zafar
semanticscholar   +1 more source

The Goursat problem for a locally loaded equation with a power-law parabolic degeneracy of the second order

ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL
A loaded degenerate second-order hyperbolic equation is considered, which, under certain physical constraints on the parameters included in it, describes the process of moisture transfer in porous media. The loaded term is a trace of the desired solution
A. Attaev
semanticscholar   +1 more source

Strong scheme for a stochastic Goursat problem

Applied Mathematics and Computation, 2004
The authors construct a strong scheme for a stochastic Goursat problem and prove the mean-square convergence to its solution for the approximation generated by the strong scheme. Moreover, they obtain the rate of convergence for the strong scheme.
Huang, Shu-Shiang, Huang, Yenkun, Tsai, Che-Yuan   +2 more
openaire   +2 more sources

Quantum time of arrival Goursat problem

Journal of Mathematical Physics, 2012
The construction of quantum time of arrival operator conjugate to the system Hamiltonian leads to a particular linear homogeneous Goursat problem. In this work, we demonstrate how to approximate the solution of the mentioned differential equation both semi-analytically and numerically with the goal of calculating the largest eigenvalue of the ...
Sombillo, Denny Lane B., Galapon, Eric A.   +1 more
openaire   +1 more source

On Goursat problem for fuzzy delay fractional hyperbolic partial differential equations

Journal of Intelligent & Fuzzy Systems, 2019
In this paper, we consider Goursat boundary value problems for fuzzy delay fractional partial differential equations under Caputo gH-derivatives. Firstly, the unique solvability of the problems in finite domain is considered. Secondly, by restricting the
N. T. K. Son, Hoang Thi Phuong Thao
semanticscholar   +1 more source

Uniqueness and Goursat problems

Annali di Matematica Pura ed Applicata, 1969
A uniqueness theorem by W. Walter for a second order Goursat problem in to independent variables is generalized. In the resulting theorem there are no restrictions on the order or on the number of indipendent variables.
openaire   +1 more source