Results 21 to 30 of about 169 (82)
Journal of Applied Mathematics, Volume 2003, Issue 10, Page 487-502, 2003., 2003 We consider a mixed problem with Dirichlet and integral conditions for a second‐order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the ...
Abdelfatah Bouziani
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Liouville-type theorem for some nonlinear systems in a half-space
Journal of Inequalities and Applications, 2014 In this paper we consider the following Hardy-Littlewood-Sobolev (HLS)-type system of nonlinear equations in the half-space R+n: u(x)=∫R+n(1|x−y|n−α−1|x∗−y|n−α)vq(y)dy, v(x)=∫R+n(1|x−y|n−α−1|x∗−y|n−α)up(y)dy, where p,q>1 and x∗ is the reflection of x ...
Linfen Cao, Zhaohui Dai, Wenyan Li
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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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Generalized Cahn‐Hilliard equations based on a microforce balance
Journal of Applied Mathematics, Volume 2003, Issue 4, Page 165-185, 2003., 2003 We present some models of Cahn‐Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.
Alain Miranville
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Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth
Advances in Nonlinear Analysis, 2014 We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
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Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability
, 2004 Received by the editors September 18, 2002. 2000 Mathematics Subject Classification. Primary 35L60; Secondary 35B35, 35B45, 35K55, 35L65, 76L05.
O. Guès +3 more
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Boundary value problem with integral conditions for a linear third‐order equation
Journal of Applied Mathematics, Volume 2003, Issue 11, Page 553-567, 2003., 2003 We prove the existence and uniqueness of a strong solution for a linear third‐order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
M. Denche, A. Memou
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A-priori bounds for quasilinear problems in critical dimension
Advances in Nonlinear Analysis, 2019 We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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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
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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
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