output
19962026
most citedSelective review of offline change point detection methods

1.4k citations

Showing 2014 · math.APShow all

7 papers · 2 filters

math.AP2014★ 1 cited

A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient

Philippe Souplet

We study nonnegative solutions of the boundary value problem $$-Δu = λc(x)u + μ(x)|\nabla u|^2 + h(x),\quad u\in H^1_0(Ω)\cap L^\infty(Ω), \leqno(P_λ)$$ where is a smooth bound…

math.AP2014★ 10 cited

Blow-up results for a strongly perturbed semilinear heat equation: Theoretical analysis and numerical method

Van Tien Nguyen, Hatem Zaag

We consider a blow-up solution for a strongly perturbed semilinear heat equation with Sobolev subcritical power nonlinearity. Working in the framework of similarity variables, we f…

math.AP2014★ 54 cited

Going beyond the threshold: scattering and blow-up in the focusing NLS equation

Thomas Duyckaerts, Svetlana Roudenko

We study the focusing nonlinear Schrödinger equation in the -supercritical regime with finite energy and finite variance initial data. We investigate solutions above the energ…

math.AP2014★ 44 cited

Improvement of the energy method for strongly non resonant dispersive equations and applications

Luc Molinet, Stéphane Vento

In this paper we propose a new approach to prove the local well-posedness of the Cauchy problem associated with strongly non resonant dispersive equations. As an example we obtain…

math.AP2014★ 9 cited

Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations

Van Tien Nguyen, Hatem Zaag

We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the…

math.AP2014

Exponential speed of uniform convergence of the cell density toward equilibrium for subcritical mass in a Patlak-Keller-Segel model

Alexandre Montaru

This paper is concerned with a chemotaxis aggregation model for cells, more precisely with a parabolic-elliptic semilinear Patlak-Keller-Segel system in a ball of fo…

math.AP2014

No touchdown at zero points of the permittivity profile for the MEMS problem

Jong-Shenq Guo, Phlippe Souplet

We study the quenching behavior for a semilinear heat equation arising in models of micro-electro mechanical systems (MEMS). The problem involves a source term with a spatially dep…