Results 21 to 30 of about 505,814 (316)
A note on coupled nonlinear Schrödinger equations
Advances in Nonlinear Analysis, 2014 We investigate the initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-global
Saanouni Tarek
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Demonstratio Mathematica, 2021 We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes +3 more
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AIMS Mathematics, 2023 This article examines the oscillatory behaviour of solutions to a particular class of conformable elliptic partial differential equations of the Emden-Fowler type.
S. S. Santra +6 more
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On the Carleman classes of vectors of a scalar type spectral operator
International Journal of Mathematics and Mathematical Sciences, 2004 The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
Marat V. Markin
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A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve
Frontiers in Applied Mathematics and Statistics, 2018 We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared acceleration is minimal in addition to remaining close the data points. We
Ronny Bergmann +1 more
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International Journal of Mathematics and Mathematical Sciences, 2011 For the evolution equation 𝑦(𝑡)=𝐴𝑦(𝑡) with a scalar type spectral operator 𝐴 in a Banach space, conditions on 𝐴 are found that are necessary and sufficient for all weak solutions of the equation on [0,∞) to be strongly infinite differentiable on [0 ...
Marat V. Markin
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Axioms, 2023 The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat +4 more
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Fractal and Fractional, 2022 This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
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A Microscopic Convexity Principle for Nonlinear Partial Differential Equations [PDF]
, 2008 We establish a microscopic convexity principle for nonlinear elliptic and parabolic partial differential equations in general form.
arxiv +1 more source
Renormalizing partial differential equations [PDF]
, 2008 In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation,
Jean Bricmont, Antti Kupiainen
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