0000000000821666

AUTHOR

Denis Bonheure

showing 2 related works from this author

Strong Instability of Ground States to a Fourth Order Schrödinger Equation

2019

Abstract In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrödinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrödinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1–3, 11].

General Mathematics010102 general mathematicsMathematics::Analysis of PDEs01 natural sciencesInstabilitySchrödinger equationsymbols.namesakeNonlinear systemFourth ordersymbolsBiharmonic equation[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsGround stateSchrödinger's catComputingMilieux_MISCELLANEOUSMathematicsMathematical physicsSciences exactes et naturelles
researchProduct

Normalized solutions to the mixed dispersion nonlinear Schr��dinger equation in the mass critical and supercritical regime

2019

In this paper, we study the existence of solutions to the mixed dispersion nonlinear Schrödinger equation γΔ2u − Δu + αu =

Applied MathematicsGeneral Mathematics010102 general mathematics01 natural sciencesSupercritical fluid010101 applied mathematicssymbols.namesakeMathématiquesMathematics - Analysis of PDEsEquations différentielles et aux dérivées partiellesQuantum electrodynamicsDispersion (optics)symbolsFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsAnalyse mathématiqueNonlinear Schrödinger equationComputingMilieux_MISCELLANEOUSMathematicsAnalysis of PDEs (math.AP)
researchProduct