Results 71 to 80 of about 8,080 (219)
We analyze geometry of the second order differential operators, having in mind applications to Batalin--Vilkovisky formalism in quantum field theory. As we show, an exhaustive picture can be obtained by considering pencils of differential operators acting on densities of all weights simultaneously. The algebra of densities, which we introduce here, has
Khudaverdyan, Hovhannes +1 more
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A discretization of the Laplace and Gauss-Weierstrass operators
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O. Villo, Paolo Ricci, C. Belingeri
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An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan +4 more
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On the p-Laplace operator on Riemannian manifolds [PDF]
This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets of (2-)harmonic functions.
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An Inversion of the Laplace and Stieltjes Transforms Utilizing Difference Operators [PDF]
R. S. Pinkham
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The Laplace-Beltrami operator is studied on a stratified set consisting of two punctured circles and an interval. A complete description of all well-posed boundary value problems for the Laplace-Beltrami operator on such a set is given.
B.E. Kanguzhin +2 more
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Closed extensions of the Laplace operator determined by a general class of boundary conditions [PDF]
William G. Bade, Robert S. Freeman
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An application to Kato's square root problem
We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω)
Toka Diagana
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Eigenfunctions of the Laplace-Beltrami operator on hyperboloids
Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace’s integral for a Legendre function is obtained.
M. K. Vemuri, Amritanshu Prasad
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Bounds on the eigenvalues of the Laplace and Schroedinger operators [PDF]
Élliott H. Lieb
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