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Notes on the InfinityLaplace Equation
, 2014
"... kin to the ordinary Laplace Equation. The ∞Laplace Equation has delightful counterparts to the Dirichlet integral, the Mean Value Theorem, the Brownian Motion, Harnack’s Inequality and so on. It has applications to image processing and to mass transfer problems and provides optimal Lipschitz extens ..."
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kin to the ordinary Laplace Equation. The ∞Laplace Equation has delightful counterparts to the Dirichlet integral, the Mean Value Theorem, the Brownian Motion, Harnack’s Inequality and so on. It has applications to image processing and to mass transfer problems and provides optimal Lipschitz
Inhomogeneous infinity Laplace equation
 Advances in Mathematics
"... We present the theory of the viscosity solutions of the inhomogeneous infinity Laplace equation ∂xi u∂xj u∂2 xixj u = f in domains in Rn. We show existence and uniqueness of a viscosity solution of the Dirichlet problem under the intrinsic condition f does not change its sign. We also discover a cha ..."
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Cited by 12 (1 self)
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We present the theory of the viscosity solutions of the inhomogeneous infinity Laplace equation ∂xi u∂xj u∂2 xixj u = f in domains in Rn. We show existence and uniqueness of a viscosity solution of the Dirichlet problem under the intrinsic condition f does not change its sign. We also discover a
A VISIT WITH THE ∞LAPLACE EQUATION
"... In these notes we present an outline of the theory of the archetypal L ∞ variational problem in the calculus of variations. Namely, given an open U ⊂ IR n and b ∈ C(∂U), find u ∈ C(U) which agrees with the boundary function b on ∂U and minimizes (0.1) F∞(u, U): = �Du�L ∞ (U) ..."
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Cited by 9 (1 self)
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In these notes we present an outline of the theory of the archetypal L ∞ variational problem in the calculus of variations. Namely, given an open U ⊂ IR n and b ∈ C(∂U), find u ∈ C(U) which agrees with the boundary function b on ∂U and minimizes (0.1) F∞(u, U): = �Du�L ∞ (U)
HELMHOLTZ AND LAPLACE EQUATIONS
"... This paper is one of a series relating the symmetry groups of the principal linear partial differential equations of mathematical physics and ..."
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This paper is one of a series relating the symmetry groups of the principal linear partial differential equations of mathematical physics and
THE HOPFLAPLACE EQUATION
, 2010
"... This Article is brought to you for free and open access by the Mathematics at SURFACE. It has been accepted for inclusion in Mathematics Faculty ..."
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This Article is brought to you for free and open access by the Mathematics at SURFACE. It has been accepted for inclusion in Mathematics Faculty
A Laplace ladder of discrete Laplace equations, Theor
 Math. Phys. 133 (2002), 1576–1584. ADAM DOLIWA
"... The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced. 1 ..."
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Cited by 6 (3 self)
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The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced. 1
On moderately close inclusions for the Laplace equation
"... Received *****; accepted after revision +++++ Presented by The presence of small inclusions modifies the solution of the Laplace equation posed in a reference domain Ω0. This question has been deeply studied for a single inclusion or well separated inclusions. We investigate in this note the case wh ..."
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Cited by 2 (1 self)
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Received *****; accepted after revision +++++ Presented by The presence of small inclusions modifies the solution of the Laplace equation posed in a reference domain Ω0. This question has been deeply studied for a single inclusion or well separated inclusions. We investigate in this note the case
Enclosure method for the pLaplace equation
, 2014
"... We study the enclosure method for the pCalderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the pLaplace equation. The method allows one to reconstruct the convex hull of inclusions in the nonlinear model by using exponentially ..."
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We study the enclosure method for the pCalderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the pLaplace equation. The method allows one to reconstruct the convex hull of inclusions in the nonlinear model by using
Results 1  10
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104,347