Results 241 to 250 of about 226,754 (275)

Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Wang, Mingxin, Wei, Lei
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Blow-Up Solutions of Modified Schrödinger Maps

Communications in Partial Differential Equations, 2008
We study blow-up solutions of modified Schrodinger maps. We observe the pseudo-conformal invariance by which explicit blow-up solutions can be constructed.
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Structure of positive boundary blow-up solutions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004
The structure of positive boundary blow-up solutions to semilinear problems of the form −Δu = λf(u) in Ω, u = ∞ on ∂Ω, Ω ⊂ RN a bounded smooth domain, is studied for a class of nonlinearities f ∈ C1 ([0, ∞)\{z2}) satisfying f (0) = f(z1) = f (z2) = 0 with 0 < z1 < z2, f < 0 in (0, z1)∪(z2, ∞), f > 0 in (z1, z2).
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Impulsive quenching and blow-up of solutions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author gives a review of the results obtained in the recent years on the quenching phenomena and blow-up of solutions of impulsive PDE. The paper consists of three sections dealing with impulsive parabolic quenching, impulsive hyperbolic quenching and impulsive parabolic blow-up, respectively.
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Blow-Up of solutions of hamilton-jacobi equations

Communications in Partial Differential Equations, 1986
On considere les solutions de viscosite du probleme de Cauchy pour l'equation d'Hamilton-Jacobi. On etudie la nature de la surface d'explosion a l'infini et le comportement des solutions au voisinage de cette ...
Avner Friedman, Panagiotis E. Souganidis
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Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation

Acta Applicandae Mathematicae, 2009
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Kim J.A., Han Y.H.
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Blow-up solutions of inhomogeneous nonlinear Schrödinger equations

Calculus of Variations and Partial Differential Equations, 2006
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Pang, P.Y.H., Tang, H., Wang, Y.
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BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT EQUATION

Acta Mathematica Scientia, 1993
Summary: The following initial value problem in \(\mathbb{R}^ n\) is discussed: \[ u_ t(x,t) - \Delta u(x,t) = u^ p(x,t) - u(x,t),\quad u(x,0) = \varphi (x) \geq 0, \] where \(p>1\). It is well known that the solution \(u(x,t)\) blows up in finite time for some initial values \(\varphi\).
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Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations

Computational Mathematics and Mathematical Physics, 2019
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Blow-up of solutions of nonlinear parabolic equations

1988
Consider the first initial-boundary value problem $$u = 0\quad on\quad \partial \Omega \times \left( {0,\infty } \right)$$ (1.1) , $$u = 0\quad on\quad \partial \Omega \times \left( {0,\infty } \right)$$ (1.2) , $$u\left( {x,0} \right) = \phi (x)\quad on\quad \Omega$$ (1.3) When Ω is a bounded domain in ℝ N with C 2 ...
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