Results 11 to 20 of about 13,013,114 (294)

Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models

Journal of Mathematics
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention ...
Jia Li, Xuelian Bai
doaj   +2 more sources

Blow up for the critical gKdV equation III: exotic regimes

, 2015
International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank, Martel, Yvan, Raphaël, Pierre   +2 more
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Blow-up rate for parabolic problems with nonlocal source and boundary flux [PDF]

Electronic Journal of Differential Equations, 2003
We determine the blow-up rate and the blow-up set for a class of one-dimensional nonlocal parabolic problems with opposite source term and boundary flux.
Arnaud Rougirel
doaj   +2 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +4 more sources

The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation [PDF]

Annals of Mathematics, 2002
We consider the critical nonlinear Schrödinger equation i u t = - Δ
Merle, Franck, Raphaël, Pierre
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The Blow-up Rate of Solutions to Boundary Blow-up Problems for the Complex Monge–Ampère Operator [PDF]

manuscripta mathematica, 2006
Let \(D\subset \mathbb C^n\) be a bounded strongly pseudoconvex domain with smooth boundary. Solutions to the complex Monge-Ampère equations of type \((dd^c u)^n (z) = \exp(K u(z))\), \(K>0\), which explode at every boundary point of \(D\) generate Kähler-Einstein metrics and are therefore well studied [\textit{S.-Y. Cheng, S.-T. Yau}, Commun.
Ivarsson, Björn, Matero, Jerk
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Stability of Blow-Up Profile and Lower Bounds for Blow-Up Rate for the Critical Generalized KdV Equation [PDF]

The Annals of Mathematics, 2002
The generalized Korteweg-de Vries equations are a class of Hamiltonian systems in infinite dimension derived from the KdV equation where the quadratic term is replaced by a higher order power term. These equations have two conservation laws in the energy space H^1(L^2 norm and energy).
Martel, Yvan, Merle, Frank
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Blow-up rates for a fractional heat equation

Proceedings of the American Mathematical Society, 2021
We study the speed at which nonglobal solutions to the fractional heat equation u t +
Ferreira, R., De Pablo, A.
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On blow‐up rate for sign‐changing solutions in a convex domain [PDF]

Mathematical Methods in the Applied Sciences, 2004
AbstractThis paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ut − Δu − ∣u∣p−1 u=0 in a convex domain D in ℝn with zero‐boundary condition. For a subcritical p ∈ (1,(n+2)/(n−2)) a growth rate estimate ∣u(x,t)∣⩽C(T−t)−1/(p−1), x ∈ D, t ∈ (0,T) is established with C independent of t provided that D is ...
Giga, Y., Matsui, S., Sasayama, S.
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Blow-up rate for a nonlinear diffusion equation

Applied Mathematics Letters, 2006
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Sining Zheng, Wei Wang 0048
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