Results 31 to 40 of about 2,300,828 (212)
Fundamental Solutions and Decay of Fully Non-local Problems
, 2018 In this paper, we study a fully non-local reaction-diffusion equation which is non-local both in time and space. We apply subordination principles to construct the fundamental solutions of this problem, which we use to find a representation of the mild ...
Pozo, Juan C., Vergara, Vicente
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Open Physics, 2018 The invariant approach is employed to solve the Cauchy problem for the bond-pricing partial differential equation (PDE) of mathematical finance. We first briefly review the invariant criteria for a scalar second-order parabolic PDE in two independent ...
Aziz Taha +2 more
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CryoEM structure of the outer membrane secretin channel pIV from the f1 filamentous bacteriophage
Nature Communications, 2021 New virions of Ff bacteriophages are extruded from the host cell via the channel built from phage protein pIV, homologous to bacterial secretins. Here, the authors report the structure of this channel from the f1 filamentous bacteriophage and propose its
Rebecca Conners +9 more
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Time-fractional equations with reaction terms: fundamental solutions and asymptotics
, 2019 We analyze the fundamental solution of a time-fractional problem, establishing existence and uniqueness in an appropriate functional space. We also focus on the one-dimensional spatial setting in the case in which the time-fractional exponent is equal ...
Dipierro, Serena +3 more
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Well posedness of an angiogenesis related integrodifferential diffusion model [PDF]
, 2016 We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow
Carpio, Ana, Duro, Gema
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Fundamental Solutions for Hyperbolic Operators with Variable Coefficients [PDF]
, 2010 In this article we describe the novel method to construct fundamental solutions for operators with variable coefficients. That method was introduced in "A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain"(J ...
Yagdjian, Karen
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Fundamental solutions of homogeneous fully nonlinear elliptic equations [PDF]
, 2009 We prove the existence of two fundamental solutions $\Phi$ and $\tilde \Phi$ of the PDE \[ F(D^2\Phi) = 0 \quad {in} \mathbb{R}^n \setminus \{0 \} \] for any positively homogeneous, uniformly elliptic operator $F$.
Armstrong, Scott N. +2 more
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Time-dependent and Non-BPS Solutions in N=6 Superconformal Chern-Simons Theory
, 2008 We study a class of classical solutions of three-dimensional N=6 superconformal Chern-Simons theory coupled with U(N) \times U(N) bi-fundamental matter fields. Especially, time evolutions of fuzzy spheres are discussed for both massless and massive cases.
Fujimori, Toshiaki +3 more
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Asymptotic estimates of the solution for a singularly perturbed Cauchy problem
Қарағанды университетінің хабаршысы. Математика сериясыThe article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs.
N.U. Bukanay +2 more
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Fundamental solutions for the long–short-wave interaction system
Open Physics, 2020 In this article, the system for the long–short-wave interaction (LS) system is considered. In order to construct some new traveling wave solutions, He’s semi-inverse method is implemented. These solutions may be applicable for some physical environments,
Inc Mustafa +4 more
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