Time decay for the solutions of a nonlinear Dirac equation in one space dimension

zbMath0658.35076MaRDI QIDQ1111083

João-Paulo Dias, M. S. Figueira

Publication date: 1986

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

existenceCauchy problemunique global solutionestimateone space dimensiontime decaynonlinear Dirac equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (9)

Initial-boundary value problem for the one dimensional Thirring model ⋮ On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential ⋮ Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ Cubic nonlinear Dirac equation in a quarter plane ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context ⋮ Energy methods for Dirac-type equations in two-dimensional Minkowski space ⋮ The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation

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