Results 11 to 20 of about 8,147,434 (373)
Liapunov functions and global existence [PDF]
Bulletin of the American Mathematical Society, 1965 Aaron Strauss
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Local existence, global existence, and scattering for the nonlinear Schrödinger equation [PDF]
Communications in Contemporary Mathematics, 2016 In this paper, we construct for every α > 0 and λ ∈ ℂ a class of initial values u0 for which there exists a local solution of the nonlinear Schrodinger equation iut + Δu + λ|u|αu = 0 on ℝN with the initial condition u(0,x) = u0.
T. Cazenave, I. Naumkin
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A Global Existence Theorem [PDF]
Canadian Mathematical Bulletin, 1966 The Cauchy-Peano existence theorem (1) does not allow us to decide from the form of a given system of equations whether or not its solution can be continued for the infinite interval -∞ < t < ∞. Several sufficient conditions for such a continuation were given by A. Wintner in (2). The main result of his paper is the following theorem which is not
Martin Eisen
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Global existence for the p-Sobolev flow [PDF]
Journal of Differential Equations, 2021 arXiv admin note: text overlap with arXiv:2103 ...
Kuusi, Tuomo +2 more
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ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD [PDF]
Glasgow Mathematical Journal, 2015 AbstractSuppose that a complex manifoldMis locally embedded into a higher-dimensional neighbourhood as a submanifold. We show that, if the local neighbourhood germs are compatible in a suitable sense, then they glue together to give a global neighbourhood ofM.
Coates, T, Iritani, H
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On the global existence of Bohmian mechanics [PDF]
Communications in Mathematical Physics, 1995 35 pages ...
K. BERNDL +4 more
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Global existence of solutions of differential inclusions
Journal of Mathematical Analysis and Applications, 1992 Assume that the Cauchy problem \(x'(t)\in F(t,x)\), \(x(t_ 0)=x_ 0\) has a local solution for every \(t_ 0\in[0,+\infty)\), \(x_ 0\in R^ n\). If \(v\) is a function such that \(v_ t+v_ xy\leq g(t,v(t,x))\) for every \(y\in F(t,x)\), \(v(t,x)\to\infty\) as \(| x|\to\infty\) and every maximal solution to \(u'=g(t,u)\) can be extended onto \([0,\infty)\),
Takeshi Taniguchi
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On the existence of global Tchebychev nets [PDF]
Transactions of the American Mathematical Society, 1995 Let S S be a complete, open simply connected surface. Suppose that the integral of the Gauss curvature over arbitrary measurable sets is less than π / 2 \pi /2 in magnitude. We show that the surface admits a global Tchebychev net.
W.P. Dayawansa, Sandra L. Samelson
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Electronic Research Archive, 2023 This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
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Optimal version of the Picard–Lindelöf theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Consider the differential equation $y'=F(x,y)$. We determine the weakest possible upper bound on $|F(x,y)-F(x,z)|$ which guarantees that this equation has for all initial values a unique solution, which exists globally.
Jan-Christoph Schlage-Puchta
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