Results 31 to 40 of about 105 (103)
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
Boundedness of Solutions to a Parabolic-Elliptic Keller–Segel Equation in ℝ2 with Critical Mass
Advanced Nonlinear Studies, 2018 We consider the Cauchy problem for a parabolic-elliptic system in ℝ2{\mathbb{R}^{2}}, called the parabolic-elliptic Keller–Segel equation, which appears in various fields in biology and physics.
Nagai Toshitaka, Yamada Tetsuya
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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
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, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 69-79, 2003.
M. Denche, A. L. Marhoune
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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
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Quasilinear parabolic equations with p(x)-Laplacian diffusion terms and nonlocal boundary conditions
, 2019 In this study, we prove the existence of local solution for a quasi linear generalized parabolic equation with nonlocal boundary conditions for an elliptic operator involving the variable-exponent nonlinearities, using Faedo-Galerkin arguments and ...
RAHMOUNE, Abita +1 more
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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
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Existence of positive singular solutions for a class of quasilinear elliptic equations
, 2000 We establish existence of singular positive radial solutions to-div(A(\del u\)del u) = f(u)either to a Dirichlet problem in a punctured ball centered at the origin, or in R-N\{0}. (C) 2000 Elsevier Science B.V. All rights reserved.
Garcia Huidobro, M +2 more
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SECOND ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS [PDF]
, 2020 . We derive a priori second order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under structure conditions which are close to optimal.
B O Guan
core
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
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