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Elliptic Partial Differential Equations of Second Order
1997We study in this chapter a class of partial differential equations that generalize and are to a large extent represented by Laplace’s equation. These are the elliptic partial differential equations of second order. A linear partial differential operator L defined by $$ Lu{\text{: = }}{a_{ij}}\left( x \right){D_{ij}}u + {b_i}\left( x \right){D_i}u +
Alan R. Elcrat, Piero Bassanini
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The Computational Complexity of Elliptic Partial Differential Equations
1972In this paper, we consider the computational complexity of the class of all procedures for computing a second order accurate approximation (on a square grid) to the solution of a linear, second order elliptic partial differential equation in a square domain.
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Stable Solutions of Elliptic Partial Differential Equations
2011Defining Stability Stability and the variations of energy Linearized stability Elementary properties of stable solutions Dynamical stability Stability outside a compact set Resolving an ambiguity The Gelfand Problem Motivation Dimension N = 1 Dimension N = 2 Dimension N => 3 Summary Extremal Solutions Weak solutions Stable weak solutions The stable ...
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Recapturing Solutions of an Elliptic Partial Differential Equation
1981Let k 2 -C(x 2 +y 2 )≤ 0 be regular on the closure of the disk D: x 2 +y 2 2 +(k 2 - C(x 2 +y 2 )}ϕ = 0. When the restriction of ϕ to the 3D is sufficiently smooth, expansion formulae are given that recapture ϕ from its means and shifted means on an arc of the 3D. A solution is given that interpolates prescribed means at the boundary.
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Addendum to “elliptic partial differential equations” [PDF]
Communications on Pure and Applied Mathematics, 1953 openaire +1 more source
Hypercalcemia and cancer: Differential diagnosis and treatment
Ca-A Cancer Journal for Clinicians, 2018Sarah B Fisher, Nancy D Perrier
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Brachytherapy: An overview for clinicians
Ca-A Cancer Journal for Clinicians, 2019Cyrus Chargari +2 more
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Differential Privacy Techniques for Cyber Physical Systems: A Survey
IEEE Communications Surveys and Tutorials, 2020Jinjun Chen +2 more
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Progress and controversies: Radiation therapy for invasive breast cancer
Ca-A Cancer Journal for Clinicians, 2014Reshma Jagsi
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Elliptic Partial Differential Equations: Laplace's Equation
2009Graham W. Griffiths +1 more
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