Results 31 to 40 of about 1,232 (95)
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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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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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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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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Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System
Advanced Nonlinear Studies, 2021 We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
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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
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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
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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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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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