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20012026
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 1.2k across the 49 of their papers we have counts for

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Showing 2009Show all

5 papers · 1 filter

math.AP2009

Inelastic interaction of nearly equal solitons for the BBM equation

Yvan Martel, Frank Merle

This paper is concerned with the interaction of two solitons of nearly equal speeds for the (BBM) equation. This work is an extension of the results obtained in arXiv:0910.3204 by…

math.AP2009★ 2 cited

Inelastic interaction of nearly equal solitons for the quartic gKdV equation

Yvan Martel, Frank Merle

This paper presents a complete description of the interaction of two solitons with nearly equal speeds for the quartic (gKdV) equation. By constructing an approximate solution of t…

math.AP2009

Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Consider the energy critical focusing wave equation on the Euclidian space. A blow-up type II solution of this equation is a solution which has finite time of existence but stays b…

math.AP2009★ 1 cited

Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations

Frank Merle, Pierre Raphael, Jeremie Szeftel

We consider the focusing nonlinear Schrödinger equations in dimension and for slightly supercritical nonlinearities $p_c<p<(1…

math.AP2009★ 4 cited

Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations

Raphael Cote, Yvan Martel, Frank Merle

Multi-soliton solutions, i.e. solutions behaving as the sum of N given solitons as , were constructed in previous works for the L2 critical and subcritical (NLS) and…