Results 1 to 10 of about 128,747 (328)
Optimal codomains for the Laplace operator and the product Laplace operator
Journal of Function Spaces and Applications, 2007 An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
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A natural Finsler--Laplace operator [PDF]
Israel Journal of Mathematics, 2012 We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections ...
A. Grigor’yan +40 more
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On Odd Laplace Operators [PDF]
Letters in Mathematical Physics, 2002 We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold $M$. We prove that the case of densities of weight 1/2 (half-densities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an ``orbit space'' of volume forms.
H. M. Khudaverdian +2 more
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Problems with laplace operator on topological surfaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the ...
Mikhail Y Shalaginov +2 more
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Eigenvalues control for a Finsler--Laplace operator [PDF]
Annals of Global Analysis and Geometry, 2012 Using the definition of a Finsler--Laplacian given by the first author, we show that two bi-Lipschitz Finsler metrics have a controlled spectrum. We deduce from that several generalizations of Riemannian results.
Barthelmé, Thomas, Colbois, Bruno
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Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform [PDF]
Advances in Mathematical Physics, 2021 In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay +3 more
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[Three-dimensional reconstruction of femur based on Laplace operator and statistical shape model]. [PDF]
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2023 Zhang Z, Zhang X, Zhang Y, Jin Z.
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Nonlocal Laplace Operator in a Space with the Fuzzy Partition [PDF]
Information Processing and Management of Uncertainty in Knowledge-Based Systems18th International Conference, 2020 Zámečníková H, Perfilieva I.
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Transmutation Operator Method for Solving Heat Conduction Problem [PDF]
EPJ Web of Conferences, 2021 The transmutation operator method is extended to the case of functions of two variables. The transmutation operator flattens the function, i.e. the transmutation operator replaces a function with discontinuous partial derivatives on the coordinate axes ...
Yaremko Oleg, Yaremko Natalia
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The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing [PDF]
Advances in Geodesy and Geoinformation, 2022 The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive ...
Ireneusz Winnicki +3 more
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