Results 21 to 30 of about 1,188 (55)

Imbedding inequalities with Lφ-norms for composite operators

Journal of Inequalities and Applications, 2013
In this paper, we prove imbedding inequalities with Lφ-norms for the composition of the potential operator and homotopy operator applied to differential forms. We also establish the global imbedding inequality in Lφ-averaging domains.
Yuming Xing, S. Ding
semanticscholar   +2 more sources

Initial‐boundary value problem with a nonlocal condition for a viscosity equation

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 6, Page 327-338, 2002., 2002
This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial‐boundary value problem which combine Neumann and integral conditions for a viscosity equation. The proof is based on an energy inequality and on the density of the range of the linear operator corresponding to the ...
Abdelfatah Bouziani
wiley   +1 more source

On the solvability of parabolic and hyperbolic problems with a boundary integral condition

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 4, Page 201-213, 2002., 2002
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear ...
Abdelfatah Bouziani
wiley   +1 more source

Dirichlet problem for divergence form elliptic equations with discontinuous coefficients

, 2012
We study the Dirichlet problem for linear elliptic second order partial differential equations with discontinuous coefficients in divergence form in unbounded domains.
S. Monsurrò, M. Transirico
semanticscholar   +1 more source

On a class of nonclassical hyperbolic equations with nonlocal conditions

International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 125-140, 2002., 2002
This paper proves the existence, uniqueness and continuous dependence of a solution of a class of nonclassical hyperbolic equations with nonlocal boundary and initial conditions. Results are obtained by using a functional analysis method based on an a priori estimate and on the density of the range of the linear operator corresponding to the abstract ...
Abdelfatah Bouziani
wiley   +1 more source

On three‐point boundary value problem with a weighted integral condition for a class of singular parabolic equations

Abstract and Applied Analysis, Volume 7, Issue 10, Page 517-530, 2002., 2002
We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
Abdelfatah Bouziani
wiley   +1 more source

Mixed problem with integral boundary condition for a high order mixed type partial differential equation

, 2003
International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 69-79, 2003.
M. Denche, A. L. Marhoune
wiley   +1 more source

Mixed problem with nonlocal boundary conditions for a third‐order partial differential equation of mixed type

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 417-426, 2001., 2001
We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
M. Denche, A. L. Marhoune
wiley   +1 more source

Spatial decay estimates for a class of nonlinear damped hyperbolic equations

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 17-26, 2001., 2001
This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two‐dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.
F. Tahamtani, K. Mosaleheh, K. Seddighi
wiley   +1 more source

A symmetrization result for a class of anisotropic elliptic problems

, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela, di Blasio, Giuseppina, Feo, Filomena   +2 more
core   +1 more source