Results 51 to 60 of about 7,959,436 (371)
Remarks on damped Schrödinger equation of Choquard type [PDF]
Opuscula Mathematica, 2021 This paper is devoted to the Schrödinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
Lassaad Chergui
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Global existence for semilinear reaction-diffusion systems on evolving domains [PDF]
, 2010 We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed domains are extended to the same systems posed on spatially linear ...
A Comanici +26 more
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On the Existence of Global Variational Principles
American Journal of Mathematics, 1980 In studying physical phenomena one frequently encounters differential equations which arise from a variational principle, i.e. the equations are the Euler-Lagrangequations obtained from the fundamental (or action) integral of a problem in the calculus of variations. Because solutions to the Euler-Lagrange equations determine the possible extrema of the
Anderson, Ian M., Duchamp, T.
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Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential
Advances in Nonlinear Analysis, 2019 The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of
Zhang Mingyou, Ahmed Md Salik
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Global existence and finite time blow-up of solutions to a nonlocal p-Laplace equation
Mathematical Modelling and Analysis, 2019 In this paper a class of nonlocal diffusion equations associated with a p-Laplace operator, usually referred to as p-Kirchhoff equations, are studied.
Jian Li, Yuzhu Han
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A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation [PDF]
, 2016 We give a sufficient condition for global existence of the solutions to a generalized derivative nonlinear Schr\"{o}dinger equation (gDNLS) by a variational argument.
Noriyoshi Fukaya +2 more
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Global boundedness of a higher-dimensional chemotaxis system on alopecia areata
Mathematical Biosciences and Engineering, 2023 This paper mainly focuses on the dynamics behavior of a three-component chemotaxis system on alopecia areata $ \begin{equation*} \left\{ \begin{array}{lll} u_t = \Delta{u}-\chi_1\nabla\cdot(u\nabla{w})+w-\mu_1u^2, &x\in\Omega, t>0, \\ v_t ...
Wenjie Zhang, Lu Xu, Qiao Xin
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Existence of a Global Solution for a Viscoelastic System
Journal of Mathematical Analysis and Applications, 1998 AbstractIn this paper, a unique classical solution (v,u) of the Cauchy problem (1), (2) is obtained if |v0(x)|1+α≤M, |u0(x)|2+α≤M. The a priori estimates |v(x,t)|1+α, |u(x,t)|2+α≤M(T) are obtained by using the maximum principle without the restriction lim|x|→±∞(v0(x),u0(x))=(v±,u±), wherev±,u±are constants. This resolves a problem proposed by J.
Yun‐guang Lu
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Global Existence for Nonlinear Diffusion Equations
Journal of Mathematical Analysis and Applications, 1995 AbstractSolutions of nonlinear (possibly degenerate) reaction-diffusion models are known to exist for all time if the asymptotic growth of the reaction term is not greater than that of the diffusion term. Via concavity methods, it is also known that negating such a condition results in solutions which blow up in finite time.
Jeffrey R. Anderson, Kang Deng
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Electronic Research Archive, 2022 This article is devoted to the global existence and extinction behavior of the weak solution to an inhomogeneous polytropic filtration equation. Based on the integral norm estimate approach, the conditions on the global existence and the occurrence of ...
Dengming Liu , Changyu Liu
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