Results 31 to 40 of about 12,187,697 (193)

Uniqueness Theorems for Goursat-Type Problems

Journal of Differential Equations, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mishnaevskii, P.A., Ramm, A.G.
openaire   +2 more sources

Well-posedness of the Goursat problem and stability for point source inverse backscattering [PDF]

, 2017
We show logarithmic stability for the point source inverse backscattering problem under the assumption of angularly controlled potentials. Radial symmetry implies Hölder stability.
E. Blaasten
semanticscholar   +2 more sources

On problems with displacement in boundary conditions for hyperbolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider three problems for hyperbolic equation on a plane in the characteristic domain. In these problems at least one of the conditions of the Goursat problem is replaced by nonlocal condition on the relevant characteristic. Non-local conditions are
Elena A Utkina
doaj   +1 more source

Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients.
F. Birem, A. Boulmerka, H. Laib, C. Hennous   +3 more
doaj   +1 more source

Fundamental Solutions of the Axial Symmetric Goursat Problem [PDF]

Journal of Nonlinear Mathematical Physics, 1996
Summary: Fundamental solutions with a given boundary condition on the characteristics of relativistic problems with axial symmetry are considered. This is the so-called Goursat problem, or zero plane formalism in Dirac's terminology, or modification of the proper time method in the Fock-Nambu-Schwinger formalism.
Borghardt, A. A., Karpenko, D. Ya., Nosenko, N. Yu.   +2 more
openaire   +2 more sources

Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy–Carleman

Partial Differential Equations in Applied Mathematics
The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic.
Smail Latreche, Kaddour Guerbati, Rafik Guefaifia, Ibrahim Mekawy, Asma Alharbi, Rashid Jan   +5 more
doaj   +1 more source

ON MATHEMATICAL MODELS OF THE ALLER EQUATION

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
The solution to the Goursat problem is written out explicitly for a hyperbolic secondorder loaded equation, proposed as a mathematical model of Aller equation under certain conditions.
Khubiev K. U.
doaj   +1 more source

Generalized Solutions of a Periodic Goursat Problem [PDF]

Journal of Applied Analysis, 2001
Following, P. R. Garabedian (1964) and E. Goursat (1956) and the author's two papers (1995) and (1997), the Goursat problem in \(\mathbb{R}^2\) is \[ {\partial^2u\over\partial x \partial y} (x,y)= f(x,y,u(x, y));\;u(x,0)= v(x);\;u(0,y)= w(y), \] where \(f\) is a complex valued function on \(\mathbb{R}^2\times \mathbb{C}\), smooth in the four underlying
openaire   +1 more source

Amenability versus non‐exactness of dense subgroups of a compact group

Journal of the London Mathematical Society, Volume 100, Issue 2, Page 592-622, October 2019., 2019
Abstract Given a countable residually finite group, we construct a compact group K and two elements w and u of K with the following properties: The group generated by w and u3 is amenable, the group generated by w and u contains a copy of the given group, and these two groups are dense in K.
Masato Mimura
wiley   +1 more source

The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form.
Aleksandr Anatol'evich Andreev, Juliya Olegovna Yakovleva   +1 more
doaj   +1 more source