Results 11 to 20 of about 8,296,108 (395)
On the Global Existence of Bohmian Mechanics [PDF]
Communications in Mathematical Physics, 1995 We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity field and infinity will not be reached in finite time ...
B. Simon +39 more
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A non-local inequality and global existence [PDF]
Advances in Mathematics, 2012 In this article we prove a collection of new non-linear and non-local integral inequalities. As an example for $u\ge 0$ and $p\in (0,\infty)$ we obtain $$ \int_{\threed} dx ~ u^{p+1}(x) \le (\frac{p+1}{p})^2 \int_{\threed} dx ~ \{(-\triangle)^{-1} u(x) \}
Desvillettes +8 more
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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
semanticscholar +5 more sources
On the global existence for the axisymmetric Euler equations [PDF]
Journées équations aux dérivées partielles, 2007 This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spacesComment: 14 ...
Abidi, Hammadi +2 more
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Liapunov functions and global existence [PDF]
Bulletin of the American Mathematical Society, 1965 Aaron Strauss
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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 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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Existence of global strings coupled to gravity [PDF]
Physical Review D, 1989 We consider σ-model strings and U(1) global strings coupled to gravity and look for static solutions with whole cylinder symmetry. We prove that in both cases there are no regular spatially compact solutions. The U(1) global string admits no asymptotically well-behaved solutions, whereas cr model strings can be constructed under certain assumptions ...
Ruiz Ruiz, Fernando +2 more
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