Results 121 to 130 of about 1,651 (223)
Integrability of derivations of classical solutions of Dirichlet's problem for an elliptic equation
International Journal of Mathematics and Mathematical Sciences, 1984 The present work is concerned with integrability properties of derivatives of classical solutions of Dirichlet's problem for a linear second-order elliptic equation Lu=f.
M. I. Hassan
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The imbedding theorems for weighted Sobolev spaces II
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1991 The author discusses weighted Poincaré and Sobolev inequalities, where the weight is of the form \(\operatorname{dist}(x,F)^\alpha\) for some closed set \(F\) in \(\mathbb{R}^n\). The behavior of the tubular neighborhoods of \(F\) determine the admissibility of the weight. Applications to degenerate elliptic equations are given.
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Maximal estimates for fractional Schr\"odinger equations with spatial variable coefficient
Electronic Journal of Differential Equations, 2018 Let $v(r,t)=\mathcal{T}_tv_0(r)$ be the solution to a fractional Schrodinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted $L^q$ estimates for the maximal operator generated by $\mathcal{T}_t$ with
Bo-Wen Zheng
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Embeddings of Weighted Sobolev Spaces
, 1999 We prove a version of Schur’s lemma for operators with positive kernels on weighted \(L_p\) spaces and apply the result to Riesz potentials of first order to get weighted generalizations of Trudinger’s limiting embedding.
Krbec, Miroslav, Schott, Thomas
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, 2018 Two important paradigms in control theory are the nonlinear H2 and H∞ control approaches. Despite many advantages, such approaches present limitations in the sense to control the transient closed-loop response.
Daniel N. Cardoso +3 more
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Electronic Journal of Differential Equations, 2014 In this article, we establish sufficient conditions for the existence and uniqueness of a solution, in a functional weighted Sobolev space, for partial fractional differential equations with integral conditions.
Taki-Eddine Oussaeif +1 more
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Global solvability of the Laplace equation in weighted Sobolev spaces
We consider a non-local boundary value problem for the Laplace equation in unbounded domain. We are interested for the weak solvability of that problem in the framework of weighted Sobolev spaces with Muckenhoupt weight.
Natavan Nasibova +3 more
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Existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation
Electronic Journal of Differential Equations, 2012 We consider the Cauchy problem for the n-dimensional generalized damped Boussinesq equation. Based on decay estimates of solutions to the corresponding linear equation, we define a solution space with time weighted norms.
Yinxia Wang
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Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
Electronic Journal of Differential Equations, 2012 In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu(x)+sum_{i=1}^n g(x)h(u(x))D_iu(x)=f(x)quad hbox{in }Omega,cr u=0quad hbox{on }partialOmega, }$$ in
Rasmita Kar
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Weighted Sobolev spaces with applications to singular nonlinear boundary value problems
, 1983 Variational methods are used in a weighted Sobolev space to prove the existence of solutions for a certain class of singular nonlinear ordinary differential ...
Kurtz, J.C
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