Results 1 to 10 of about 141,907 (168)
Neumann functions for second order elliptic systems with measurable coefficients [PDF]
Transactions of the American Mathematical Society, 2013 23 pages, 0 figure; accepted in Trans. Amer.
Choi, Jongkeun, Kim, Seick
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On nonnegative entire solutions of second-order semilinear elliptic systems
Electronic Journal of Differential Equations, 2003 We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
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On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk
Mathematics, 2023 The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit disk
Astamur Bagapsh, Alexandre Soldatov
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Second Order Regularity for a Linear Elliptic System Having BMO Coefficients [PDF]
Milan Journal of Mathematics, 2021 AbstractWe consider linear elliptic systems whose prototype is$$\begin{aligned} div \, \Lambda \left[ \,\exp (-|x|) - \log |x|\,\right] I \, Du = div \, F + g \text { in}\, B. \end{aligned}$$divΛexp(-|x|)-log|x|IDu=divF+ginB.HereBdenotes the unit ball of$$\mathbb {R}^n$$Rn, for$$n > 2$$n>2, centered in the origin,Iis the identity matrix,Fis a ...
Moscariello G., Pascale G.
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Axioms, 2022 In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators.
Raimondas Čiegis +2 more
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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2021 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs +2 more
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The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich +1 more
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On the generalized spectrum for second-order elliptic systems [PDF]
Transactions of the American Mathematical Society, 1987 We consider the system of homogeneous Dirichlet boundary value problems ( ∗ ) ({\ast }) \[ L 1 u = λ [ a 11 ( x )
Cantrell, Robert Stephen, Cosner, Chris
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The $L^p$ Dirichlet boundary problem for second order Elliptic Systems with rough coefficients [PDF]
, 2020 Given a domain above a Lipschitz graph, we establish solvability results for strongly elliptic second-order systems in divergence-form, allowed to have lower-order (drift) terms, with $L^p$-boundary data for $p$ near $2$ (more precisely, in an interval ...
Dindoš, Martin +2 more
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Comptes Rendus. Mathématique, 2020 We show that under Kalman’s rank condition, the observability of a scalar equation implies the uniqueness of solution to a system of elliptic operators.
Li, Tatsien, Rao, Bopeng
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