Results 21 to 30 of about 255,795 (302)

log–log blow up solutions blow up at exactly m points [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017
We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly m points according to the log–log law. Résumé Nous étudions l'équation de Schrödinger non linéaire focalisante de ...
openaire   +3 more sources

Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

Abstract and Applied Analysis, 2014
We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
doaj   +1 more source

Blow-up of solutions of the nonlinear Sobolev equation

Applied Mathematics Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang Cao, Yuanyuan Nie
openaire   +1 more source

Blow-up for a degenerate and singular parabolic equation with a nonlocal source

Advances in Difference Equations, 2019
This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given.
Nitithorn Sukwong, Panumart Sawangtong, Sanoe Koonprasert, Wannika Sawangtong   +3 more
doaj   +1 more source

Blow-Up Of Solutions For The Damped Boussinesq Equation

Zeitschrift für Naturforschung A, 2005
We consider the blow-up of solutions as a function of time to the initial boundary value problem for the damped Boussinesq equation.
Polat, N, Kaya, D, Tutalar, HI
openaire   +2 more sources

Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation

Advanced Nonlinear Studies, 2017
We consider u⁢(x,t)${u(x,t)}$, a solution of ∂t⁡u=Δ⁢u+|u|p-1⁢u${\partial_{t}u=\Delta u+|u|^{p-1}u}$ which blows up at some time T>0${T>0}$, where u:ℝN×[0,T)→ℝ${u:\mathbb{R}^{N}\times[0,T)\to\mathbb{R}}$, p>1${p>1}$ and (N-2)⁢p0}$.
Ghoul Tej-Eddine, Nguyen Van Tien, Zaag Hatem   +2 more
doaj   +1 more source

Blow-up solutions for a Blow-up solutions for a Blow-up solutions for a $p$-Laplacian elliptic equation of logistic type with singular nonlinearity

, 2015
In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions for a class of logistic type quasilinear problem in a smooth bounded domain involving the $p$-Laplacian operator, where the nonlinearity can have a singular behavior.
Alves, Claudianor O., Santos, Carlos A., Zhou, Jiazheng   +2 more
openaire   +2 more sources

Boundary blow-up solutions with a spike layer

Journal of Differential Equations, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Yihong, Yan, Shusen
openaire   +2 more sources

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

, 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   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

Applied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum, Nadjat Doudi, Lamine Nisse, Asma Alharbi, Salah Boulaaras   +4 more
doaj   +1 more source