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Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
Nonlinearity, 2018In this paper, we study a diffusion model of Kirchhoff-type driven by a nonlocal integro-differential operator. As a particular case, we consider the following diffusion problem where [u]s is the Gagliardo seminorm of u, is a bounded domain with ...
Xiang Mingqi +2 more
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On blow up for the energy super critical defocusing nonlinear Schrödinger equations
Inventiones Mathematicae, 2019We consider the energy supercritical defocusing nonlinear Schrödinger equation $$\begin{aligned} i\partial _tu+\Delta u-u|u|^{p-1}=0 \end{aligned}$$ i ∂ t u + Δ u - u | u | p - 1 = 0 in dimension $$d\ge 5$$ d ≥ 5 .
F. Merle +3 more
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Calculus of Variations and Partial Differential Equations, 2019
In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the single equation and the weakly coupled system.
A. Palmieri, Ziheng Tu
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In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the single equation and the weakly coupled system.
A. Palmieri, Ziheng Tu
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Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay
Applicable Analysis, 2018This paper is concerned with a problem of a logarithmic nonlinear wave equation with delay. The local existence result has been established using the semigroup theory. In addition, for negative initial energy, a finite-time blow-up result is proved.
Mohammad M. Kafini, S. Messaoudi
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Combinatorics, Probability and Computing, 1999
Extremal graph theory has a great number of conjectures concerning the embedding of large sparse graphs into dense graphs. Szemerédi's Regularity Lemma is a valuable tool in finding embeddings of small graphs. The Blow-up Lemma, proved recently by Komlós, Sárközy and Szemerédi, can be applied to obtain approximate versions of many of the embedding ...
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Extremal graph theory has a great number of conjectures concerning the embedding of large sparse graphs into dense graphs. Szemerédi's Regularity Lemma is a valuable tool in finding embeddings of small graphs. The Blow-up Lemma, proved recently by Komlós, Sárközy and Szemerédi, can be applied to obtain approximate versions of many of the embedding ...
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Communications in Algebra, 1997
(1997). On the smoothness of blow ups. Communications in Algebra: Vol. 25, No. 6, pp. 1861-1872.
Liam O'Carroll, G. Valla
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(1997). On the smoothness of blow ups. Communications in Algebra: Vol. 25, No. 6, pp. 1861-1872.
Liam O'Carroll, G. Valla
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Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
Journal d'Analyse Mathematique, 2020M. Winkler
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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
Journal of Differential Equations, 2020W. Lian, Juan Wang, Runzhang Xu
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Blowing Up Symplectic Orbifolds
Annals of Global Analysis and Geometry, 2001The author studies different blow-up constructions on symplectic orbifolds by using different circle actions. Some of these constructions are used to describe the behavior of reduced spaces of Hamiltonian circle actions on a symplectic orbifold, when passing a critical level of its Hamiltonian function. Using these descriptions, the author generalizes,
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