A Sixth-Order Nonlinear Parabolic Equation for Quantum Systems

DOI10.1137/080739021zbMath1197.35151OpenAlexW1995342126MaRDI QIDQ3584122

Josipa Pina Milisic, Ansgar Jüngel

Publication date: 19 August 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080739021

zbMATH Keywords

periodic boundary conditionsone space dimensionglobal existence of solutionsfixed point argumentsquantum semiconductorsalgorithmic entropy constructionconvergence of transport plans

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with quantum mechanics (35Q40) Quasilinear parabolic equations (35K59)

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