( ω , c )‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5880
Abstract: Departamento Administrativo de Ciencia, Tecnologia e Innovacion 121556933876 164408 3/R Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT FONDECYT 1170466 read more here.
Keywords: first order; periodic functions; cauchy problem; asymptotically periodic ... See more keywords
The Cauchy Problem for Non-linear Higher Order Hartree Type Equation in Modulation Spaces
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DOI: 10.1007/s00041-018-9629-z
Abstract: We study the Cauchy problem for Hartree equation with cubic convolution nonlinearity $$F(u) = (K \star |u|^{2k})u$$F(u)=(K⋆|u|2k)u under a specified condition on potential K with Cauchy data in modulation spaces $$M^{p,q}(\mathbb {R}^n)$$Mp,q(Rn). We establish global… read more here.
Keywords: modulation spaces; cauchy problem; mathbb; problem non ... See more keywords
Global Strong Solution and Exponential Decay to the 3D Cauchy Problem of Nonhomogeneous Bénard System with Vacuum
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DOI: 10.1007/s10440-021-00406-5
Abstract: We prove the global existence and exponential decay of strong solutions to the Cauchy problem of nonhomogeneous Benard system in $\mathbb{R}^{3}$ provided that some smallness conditions hold true. Note that although the system degenerates near… read more here.
Keywords: problem nonhomogeneous; exponential decay; system; cauchy problem ... See more keywords
Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04726-z
Abstract: We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives. read more here.
Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type ... See more keywords
Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation
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DOI: 10.1007/s11075-018-0573-4
Abstract: This paper considers the Cauchy problem of a semi-linear elliptic equation and uses a generalized Tikhonov-type regularization method to overcome its ill-posedness. The existence, uniqueness, and stability for regularized solution are proven. Under an a… read more here.
Keywords: cauchy problem; method; regularization; type ... See more keywords
The Cauchy problem for the stochastic generalized Benjamin-Ono equation
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DOI: 10.1007/s11425-019-1620-y
Abstract: The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation. By establishing the bilinear estimate, trilinear estimates in some Bourgain spaces, we prove that the Cauchy problem for the stochastic… read more here.
Keywords: generalized benjamin; cauchy problem; ono equation; problem stochastic ... See more keywords
Well-posedness of a non-local abstract Cauchy problem with a singular integral
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DOI: 10.1007/s11464-019-0750-3
Abstract: A non-local abstract Cauchy problem with a singular integral is studied, which is a closed system of two evolution equations for a real-valued function and a function-valued function. By proposing an appropriate Banach space, the… read more here.
Keywords: abstract cauchy; non local; cauchy problem; well posedness ... See more keywords
A Cauchy problem for the Cauchy–Riemann operator
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DOI: 10.1007/s13370-020-00810-4
Abstract: We study the Cauchy problem for a nonlinear elliptic equation with data on a piece $${\mathcal {S}}$$ S of the boundary surface $$\partial {\mathcal {X}}$$ ∂ X . By the Cauchy problem is meant any… read more here.
Keywords: cauchy riemann; cauchy problem; cauchy; riemann operator ... See more keywords
On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
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DOI: 10.1007/s40072-021-00222-w
Abstract: We are considering the asimptotic behavior as t → ∞ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes… read more here.
Keywords: problem parabolic; cauchy problem; time; behavior solutions ... See more keywords
Analysis of Dirichlet–Robin Iterations for Solving the Cauchy Problem for Elliptic Equations
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DOI: 10.1007/s41980-020-00466-7
Abstract: The Cauchy problem for general elliptic equations of second order is considered. In a previous paper (Berntsson et al. in Inverse Probl Sci Eng 26(7):1062–1078, 2018), it was suggested that the alt ... read more here.
Keywords: dirichlet robin; analysis dirichlet; cauchy problem; elliptic equations ... See more keywords
Smoothing effect and Cauchy problem for radially symmetric homogeneous Boltzmann equation with Debye–Yukawa potential of Shubin class initial datum
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.053
Abstract: Abstract In this paper, we study the Cauchy problem for the radially symmetric homogeneous non-cutoff Boltzmann equation with Debye–Yukawa potential, the initial datum belongs to Shubin type space of the negative index which can be… read more here.
Keywords: shubin; initial datum; cauchy problem;