Results 1 to 10 of about 6,210,106 (215)
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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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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Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection [PDF]
Communications in Partial Differential Equations, 2020 We study the Kuramoto-Sivashinsky equation (KSE) in scalar form on the two-dimensional torus with and without advection by an incompressible vector field. We prove local existence of mild solutions for arbitrary data in L 2.
Yuanyuan Feng, A. Mazzucato
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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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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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Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
Advances in Nonlinear Analysis, 2020 In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an ...
Xingchang Wang, Runzhang Xu
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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 for semilinear damped wave equations in relation with the Strauss conjecture [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$.
Mengyun Liu, Chengbo Wang
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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.
Samelson, Sandra L., Dayawansa, W. P.
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Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth [PDF]
Journal of evolution equations (Printed ed.), 2018 We consider the Neumann and Cauchy problems for positivity preserving reaction–diffusion systems of m equations enjoying the mass and entropy dissipation properties. We show global classical existence in any space dimension, under the assumption that the
P. Souplet
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