Results 1 to 10 of about 11,623,619 (358)
On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order [PDF]
Entropy, 2022 In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain.
Davron Aslonqulovich Juraev +2 more
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Electronic Journal of Differential Equations, 2009 This article presents a global version of the main theorem by Baouendi and Goulaouic cite{bago}, in the space of differentiable functions with respect to Fuchsian variable, and holomorphic with respect to other variables.
Malika Belarbi, Mustapha Mechab
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Discrete & Continuous Dynamical Systems - B, 2021 This paper investigates the Cauchy problem to a class of stochastic non-autonomous evolution equations of parabolic type governed by noncompact evolution families in Hilbert spaces. Combining the theory of evolution families, the fixed point theorem with
Pengyu Chen, Yongxiang Li, Xuping Zhang
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Cauchy problem for fractional non-autonomous evolution equations [PDF]
Banach Journal of Mathematical Analysis, 2019 This paper deals with the Cauchy problem to a class of nonlinear time fractional non-autonomous integro-differential evolution equation of mixed type via measure of noncompactness in infinite-dimensional Banach spaces.
Pengyu Chen, Xuping Zhang, Yongxiang Li
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Inhomogeneous conformable abstract Cauchy problem
Open Mathematics, 2021 In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene +2 more
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The Cauchy Problem for the Fractional Kadomtsev-Petviashvili Equations [PDF]
SIAM Journal on Mathematical Analysis, 2017 The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev--Petviashvili (KP) equations, including the KP...
F. Linares, Didier Pilod, J. Saut
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The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes [PDF]
Russian Mathematical Surveys, 2018 The focusing non-linear Schrödinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of quasimonochromatic waves in weakly non-linear media, and MI is considered to be the main physical mechanism for the ...
P. Grinevich +8 more
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Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems
Mathematics, 2022 Due to the fundamental solutions are employed as basis functions, the localized method of fundamental solution can obtain more accurate numerical results than other localized methods in the homogeneous problems.
Junli Zhang +3 more
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Cauchy problem for the Kuznetsov equation [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 We consider the Cauchy problem for a model of non-linear acoustics, named the Kuznetsov equation, describing sound propagation in thermo-viscous elastic media.
A. Dekkers, A. Rozanova-Pierrat
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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
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