Results 51 to 60 of about 618,259 (179)
Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
Advances in Difference Equations, 2018 We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
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Generalized-Fractional Tikhonov-Type Method for the Cauchy Problem of Elliptic Equation
Mathematics, 2020 This article researches an ill-posed Cauchy problem of the elliptic-type equation. By placing the a-priori restriction on the exact solution we establish conditional stability.
Hongwu Zhang, Xiaoju Zhang
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Difference singular perturbations—I. A priori estimates
Journal of Mathematical Analysis and Applications, 1979 Abstract Difference approximations for differential singular perturbations with small parameter ϵ are considered. We point out ellipticity and coerciveness conditions which are necessary and sufficient for a two-sided a priori estimate to hold for the solutions of difference singular perturbation uniformly with respect to the ratio of both small ...
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Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces
Electronic Journal of Differential Equations, 2013 We present an a priori estimate for an electromagnetic transmission problem in unbounded exterior domains in R^3. We consider Maxwell's equations in two sub-domains, the bounded interior representing a conducting material (metal) and the unbounded ...
Jorge Eliecer Ospino
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Electronic Journal of Differential Equations, 2016 This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure.
Zhe Hu, Li Wang, Peihao Zhao
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A priori bounds of the solution of a one point IBVP for a singular fractional evolution equation
Advances in Difference Equations, 2020 A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional and integer order differential equations in bounded domains.
Said Mesloub, Hassan Eltayeb Gadain
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Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities
Electronic Journal of Differential Equations, 2001 Here we consider elliptic equations and inequalities involving quasilinear operators in divergence form and nonlinear lower order terms: $$-mathop{m div}left(mathcal{A}(x,u,abla u)ight) geq |x|^sigma u^Qquad(Q>0,sigma in mathbb{R}), $$ in dimension $Ngeq
Marie-Francoise Bidaut-Veron
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A priori estimates for a critical Schrodinger-Newton equation
Electronic Journal of Differential Equations, 2013 Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent.
Marcelo M. Disconzi
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Electronic Journal of Differential Equations, 2002 We study the nonnegative solutions to equation $$ -Delta_{p}u=u^{q}+lambdau, $$ in a bounded domain $Omega$ of $mathbb{R}^{N}$, where $10$ is a parameter. We give necessary conditions on $u$ for existence, with $lambda$ small enough, in terms of capacity.
Marie-Francoise Bidaut-Veron
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