Results 1 to 10 of about 6,569 (144)
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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Hermite Fitted Block Integrator for Solving Second-Order Anisotropic Elliptic Type PDEs
Fractal and Fractional, 2022 A Hermite fitted block integrator (HFBI) for numerically solving second-order anisotropic elliptic partial differential equations (PDEs) was developed, analyzed, and implemented in this study.
Emmanuel Oluseye Adeyefa +3 more
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General solutions and applications of the coupled Drinfel’d–Sokolov–Wilson equation
Examples and Counterexamples, 2023 We report a new batch of wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation which represents a coupled system of nonlinear partial differential equations (NLPDEs).
Shreya Mitra +2 more
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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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Optimal control in the boundary value problem for elliptic equations with degeneration
Математичні Студії, 2023 The problem of optimal control of the system described by the oblique derivative problem for the elliptic equation of the second order is studied. Cases of internal and boundary management are considered.
I. D. Pukal’skii, B. O. Yashan
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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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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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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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Exact method to solve of linear heat transfer problems [PDF]
E3S Web of Conferences, 2021 When approximating multidimensional partial differential equations, the values of the grid functions from neighboring layers are taken from the previous time layer or approximation.
Abdullayev Akmaljon +2 more
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