Results 11 to 20 of about 17,216 (210)
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain [PDF]
, 2010 The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce, Kopteva, Natalia
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Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
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Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem [PDF]
, 2008 A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the ...
Kopteva, Natalia
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Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem [PDF]
, 2011 A semilinear reaction–diffusion two-point boundary value problem, whose second-order derivative is multiplied by a small positive parameter ε 2 , is considered. It can have multiple solutions.
Stynes, Martin, Kopteva, Natalia
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A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems [PDF]
, 2005 Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Yeung, W-K, Winter, M, Wei, J
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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IEEE Access, 2019 In this paper, we investigate a linearized finite difference scheme for the variable coefficient semi-linear fractional convection-diffusion wave equation with delay.
Tingyue Li +4 more
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On the Descriptional Complexity of Operations on Semilinear Sets [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We investigate the descriptional complexity of operations on semilinear sets. Roughly speaking, a semilinear set is the finite union of linear sets, which are built by constant and period vectors.
Simon Beier +2 more
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Existence for semilinear equations on exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$ centered at the origin in ${\mathbb R}^{N}$ where $f$ is odd with $f0$ on $(\beta, \infty),$ and $f$ superlinear.
Joseph Iaia
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Frontiers in Applied Mathematics and Statistics, 2022 Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent.
Olawale O. Kehinde +2 more
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