Results 11 to 20 of about 115,549 (311)
FOURIER PROBLEM FOR WEAKLY NONLINEAR EVOLUTION INCLUSIONS WITH FUNCTIONALS
Journal of Optimization, Differential Equations and Their Applications, 2019 The Fourier problem or, in other words, the problem without initial conditions for evolution equations and inclusions arise in modeling different nonstationary processes in nature, that started a long time ago and initial conditions do not affect on them
Mykola M. Bokalo, Iryna V. Skira
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The Fourier analysis in inhomogeneous media
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023 In the paper, the definition and basic properties of the Fourier transform (FT) are discussed. It has been shown with specific examples that integral solutions of the model inhomogeneous equation, the nonstationary Cauchy problem on an inhomogeneous ...
Gnevyshev Vladimir, Belonenko Tatyana
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Fourier restriction to polynomial curves I: a geometric inequality [PDF]
, 2010 We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier restriction with respect to the affine arclength measure of the curve, we obtain a universal estimate for the class of all polynomial curves of bounded ...
Wright, James +5 more
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Algorithms, 2023 The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi +5 more
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Unlimited Sampling Theorem Based on Fractional Fourier Transform
Fractal and Fractional, 2023 The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. The unlimited sampling theory expands the recordable range of traditional analog-to-digital converters (ADCs) arbitrarily, and the signal is folded back into
Hui Zhao, Bing-Zhao Li
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Mathematical Modelling and Analysis, 2021 We consider the Mullins’ equation of a single surface grooving when the surface diffusion is not considered as very slow. This problem can be formed by a surface grooving of profiles in a finite space region.
Mansur I. Ismailov
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ABOUT THE EQUALITY OF THE TRANSFORM OF LAPLACE TO THE TRANSFORM OF FOURIER
Проблемы анализа, 2016 We proved that the transform of Laplace does not have complex part on the complex axis for the wide class of functions in different situations. The main theorem is proved presenting a function as sum of two Laplace transforms.
Pavlov Andrey V.
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Boundary problem for the singular heat equation
Karpatsʹkì Matematičnì Publìkacìï, 2017 The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
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A Fourier transform approach to Christoffel’s problem [PDF]
Transactions of the American Mathematical Society, 2011 In his solution of the Christoffel problem for convex bodies in \({\mathbb R}^n\), \textit{C. Berg} [Mat.-Fys. Medd., Danske Vid. Selsk. 37, No.~6, 64 p. (1969; Zbl 0181.38303)] constructed functions \(g_n\) on \([-1,1]\) with the following property. A finite Borel measure \(\mu\) on the unit sphere \(S^{n-1}\) is the first surface area measure of a ...
Goodey, Paul +2 more
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Classical solution of the cauchy problem for Biwave equation: application of fourier transform
Mathematical Modelling and Analysis, 2012 In this paper, we use some Fourier analysis techniques to find an exact solution to the Cauchy problem for the n-dimensional biwave equation in the upper half-space ℝ n × [0, +∞).
Victor Korzyuk +2 more
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