Results 11 to 20 of about 142,315 (286)
Neumann functions for second order elliptic systems with measurable coefficients [PDF]
Transactions of the American Mathematical Society, 2012 We study Neumann functions for divergence form, second order elliptic systems with bounded measurable coefficients in a bounded Lipschitz domain or a Lipschitz graph domain.
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 positive radial entire solutions of second-order quasilinear elliptic systems
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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 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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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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