Results 21 to 30 of about 60,411 (268)
Advances in Nonlinear Analysis, 2018 In even space dimensions, the initial value problems for some high-order focusing semilinear evolution equations with exponential nonlinearities are considered.
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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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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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,
Bricmont, J., Kupiainen, A.
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Abstract and Applied Analysis, 2004 In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0-semigroups in terms of the analytic vectors of the operators is found.
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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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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SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS [PDF]
Journal of the Korean Mathematical Society, 2003 We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure.
Gaussier, Hervé, Merker, Joel
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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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Removability conditions for anisotropic parabolic equations in a computational validation
Frontiers in Applied Mathematics and StatisticsThe article investigates removability conditions for singularities of anisotropic parabolic equations and in particular for the anisotropic porous medium equation and it aims in the numerical validation of the analytical results. The preconditions on the
Dirk Langemann +2 more
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