Results 51 to 60 of about 5,502 (166)
On a stochastic Burgers equation with Dirichlet boundary conditions
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for ...
Ekaterina T. Kolkovska
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Современная математика: Фундаментальные направленияWe consider strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain. There are homogeneous Dirichlet conditions on a part of the boundary, and boundary conditions of the third kind on the other part of the ...
V. V. Akhlynina
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Wentzell boundary conditions in the context of Dirichlet forms
Advances in Differential Equations, 2003 For the formal elliptic expression \(L=\nabla a\nabla\) on \(\Omega\subset{\mathbb R}^d\) with Wentzell boundary condition \(-\alpha Au +n\cdot a\nabla u +\gamma u=0\) on \(\Sigma\subset\Omega\) and Dirichlet boundary condition on \(\Omega\backslash\Sigma\) (\(\alpha,\gamma\) are suitable functions, \(n\) is the outward normal), the authors prove that ...
Vogt, Hendrik, Voigt, Jürgen
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Nonlocal problems with local Dirichlet and Neumann boundary conditions
Journal of Mechanics of Materials and Structures, 2017 We present novel governing operators in the theory of peridynamics (PD) which will allow the extension of PD to applications that require local boundary conditions (BC). Due to its nonlocal nature, the original PD governing operator uses nonlocal BC. The novel operators agree with the original PD operator in the bulk of the domain and simultaneously ...
Aksoylu, Burak, Celiker, Fatih
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Multiple solutions of fourth-order difference equations with different boundary conditions
Boundary Value Problems, 2019 In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we
Yuhua Long, Shaohong Wang, Jiali Chen
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Semilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions
Journal of Functional Analysis, 2003 The authors study the problem \[ \begin{aligned} -\Delta u &= \lambda u^q + u^r \quad\text{in } \Omega, \cr u &> 0 \quad\text{in } \Omega, \cr B(u) &= 0 \quad\text{on } \partial\Omega, \end{aligned} \eqno(*) \] where \(\Omega\subset{\mathbb R}^N\), \(N\geq 3\), is a smooth bounded domain ...
Colorado, E., Peral, I.
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The maximum principle for equations with composite coefficients
Electronic Journal of Differential Equations, 2000 It is well-known that the maximum of the solution of a linear elliptic equation can be estimated in terms of the boundary data provided the coefficient of the gradient term is either integrable to an appropriate power or blows up like a small negative ...
Gary M. Lieberman
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Positive solutions for second-order boundary-value problems with sign changing Green's functions
Electronic Journal of Differential Equations, 2017 In this article we analyze some possibilities of finding positive solutions for second-order boundary-value problems with the Dirichlet and periodic boundary conditions, for which the corresponding Green's functions change sign.
Alberto Cabada +2 more
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Theory of “Critical Points at Infinity” and a Resonant Singular Liouville-Type Equation
Advanced Nonlinear Studies, 2017 We consider the following Liouville-type equation on domains of ℝ2${\mathbb{R}^{2}}$ under Dirichlet boundary conditions:
Ahmedou Mohameden, Ben Ayed Mohamed
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Discrete Dynamics in Nature and Society, 2015 We briefly review and investigate the performance of various boundary conditions such as Dirichlet, Neumann, linear, and partial differential equation boundary conditions for the numerical solutions of the Black-Scholes partial differential equation.
Darae Jeong +5 more
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