Results 21 to 30 of about 2,019,917 (274)
ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD [PDF]
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]
arXiv admin note: text overlap with arXiv:2103 ...
Kuusi, Tuomo+2 more
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On the global existence of Bohmian mechanics [PDF]
35 pages ...
K. BERNDL+4 more
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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
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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On the existence of global Tchebychev nets [PDF]
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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On a viscoelastic heat equation with logarithmic nonlinearity
This work deals with the following viscoelastic heat equations with logarithmic nonlinearity \begin{align*} u_t-\Delta u+\int_{0}^{t}g(t-s)\Delta u(s)ds=\vert u\vert^{p-2}u\ln\vert u\vert.
Nguyen Van Y, Nhan Le, Le Xuan Truong
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Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow
In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins–Sekerka flow and the surface diffusion flow of smooth sets, mainly due to E. Acerbi, N. Fusco, V. Julin and M. Morini.
Serena Della Corte +2 more
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ON THE GLOBAL EXISTENCE OF TIME [PDF]
The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
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Existence of global strings coupled to gravity [PDF]
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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