Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity

DOI10.1515/anona-2015-0108zbMath1383.35215OpenAlexW2590105922WikidataQ115514510 ScholiaQ115514510MaRDI QIDQ682061

Tarek Saanouni

Publication date: 13 February 2018

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2015-0108

zbMATH Keywords

well-posednessblow-upground stateMoser-Trudinger inequalityhigh-order heat type equationhigh-order Schrödinger type equationhigh-order wave type equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (8)

Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator ⋮ Invariant tori of full dimension for higher-dimensional beam equations with almost-periodic forcing ⋮ Critical and sup-critical initial energy finite time blowup phenomena for the fourth-order wave equations with nonlinear strain term ⋮ Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation ⋮ Inhomogeneous nonlinear high-order evolution equations ⋮ Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation ⋮ A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator ⋮ Global existence of solution for multidimensional generalized double dispersion equation

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