Results 31 to 40 of about 138,114 (286)
Optimization methods for Dirichlet control problems [PDF]
, 2018 This work was partially supported by the Spanish Ministerio de Ciencia e Innovacion [project number MTM2014-57531-P] and [project number MTM2017-83185-P]
Mateos Alberdi, Mariano José
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Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations [PDF]
, 2015 We consider three problems for the Helmholtz equation in interior and exterior domains in R^d (d=2,3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior impedance problem.
Baskin, Dean +2 more
core +4 more sources
Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
doaj +1 more source
An optimal mass transport approach for limits of eigenvalue problems for the fractional $p$-Laplacian [PDF]
, 2015 We find interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional $p-$Laplacian operators as $p\to +\infty$.
Del Pezzo, L. M. +3 more
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Regular subspaces of Dirichlet forms
, 2015 The regular subspaces of a Dirichlet form are the regular Dirichlet forms that inherit the original form but possess smaller domains. The two problems we are concerned are: (1) the existence of regular subspaces of a fixed Dirichlet form, (2) the ...
Li, Liping, Ying, Jiangang
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Dirichlet problems with skew-symmetric drift terms
Comptes Rendus. MathématiqueWe prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form $A\,E(x)\nabla u + \mathrm{div}(u\,E(x))$, with $A > 0$ and $E$ in $(L^{r}(\Omega ))^{N}$.
Boccardo, Lucio +2 more
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Antiplane strain of a cylindrically anisotropic elastic bar
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The problem of antiplane deformation of general cylindrical anisotropic material is studied in this paper. Explicit solutions of Dirichlet and Neumann problems are given for a circular domain.
Yu. A. Bogan
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Dirichlet Boundary Value Problems of the Ernst Equation [PDF]
, 2001 We demonstrate how the solution to an exterior Dirichlet boundary value problem of the axisymmetric, stationary Einstein equations can be found in terms of generalized solutions of the Backlund type.
Andreas Kleinwächter +32 more
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Advanced Intelligent Discovery, EarlyView.We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
wiley +1 more source
The Dirichlet problem on quadratic surfaces [PDF]
Mathematics of Computation, 2003 We give a fast, exact algorithm for solving Dirichlet problems with polynomial boundary functions on quadratic surfaces in R^n such as ellipsoids, elliptic cylinders, and paraboloids. To produce this algorithm, first we show that every polynomial in R^n can be uniquely written as the sum of a harmonic function and a polynomial multiple of a quadratic ...
Sheldon Axler, Pamela Gorkin, Karl Voss
openaire +2 more sources