Results 101 to 110 of about 11,399,904 (367)
The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces
International Journal of Mathematics and Mathematical Sciences, 2013 We study the Dirichlet problem for the equation Δu−k2u=0 in the exterior of nonclosed Lipschitz surfaces in R3. The Dirichlet problem for the Laplace equation is a particular case of our problem. Theorems on existence and uniqueness of a weak solution of
P. A. Krutitskii
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The paper proposes a variational analysis of the 1‐hypergeometric stochastic volatility model for pricing European options. The methodology involves the derivation of estimates of the weak solution in a weighted Sobolev space. The weight is closely related to the stochastic volatility dynamic of the model.
José Da Fonseca, Wenjun Zhang
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The non-linear Dirichlet problem and the CR Yamabe problem
Le Matematiche, 1999 See directly the ...
Nicola Garofalo, dimiter Vassilev
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Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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On Dirichlet's divisor problem [PDF]
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1931 1. Let d ( n ) denote the number of divisors of the positive integer n , so that, if n = p 1 a 1 . . . p r
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On the Dirichlet problem for Monge-Ampère type equations [PDF]
, 2013 In this paper, we prove second derivative estimates together with classical solvability for the Dirichlet problem of certain Monge-Ampére type equations under sharp hypotheses.
F. Jiang, N. Trudinger, Xiao-Ping Yang
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Image‐Based Flaw Identification Using Convolutional Neural Network
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Flaw detection in structures is crucial for ensuring structural integrity and safety across various engineering applications. Traditional nondestructive evaluation (NDE) techniques often face challenges in accurately identifying and characterizing flaws, particularly when dealing with complex geometries and strain fields.
Pugazhenthi Thananjayan +2 more
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Dirichlet problem for quasi-linear elliptic equations
Electronic Journal of Differential Equations, 2002 We study the Dirichlet Problem associated to the quasilinear elliptic problem $$ -sum_{i=1}^{n}frac{partial }{partial x_i}mathcal{A}_i(x,u(x), abla u(x))+mathcal{B}(x,u(x),abla u(x))=0.
Azeddine Baalal, Nedra Belhaj Rhouma
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Clogging of reservoir formations, known as permeability damage, and wellbore clogging due to mobilization and straining of in situ fine particles are critical challenges in enhanced geothermal systems. This study presents a novel fully coupled thermo‐poro‐elastic model to predict the thermo‐hydro‐mechanical (THM) response of saturated porous ...
Xinle Zhai, Kamelia Atefi‐Monfared
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A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
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