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Volume 35, Issue 3
KAM Theory for Partial Differential Equations

Massimiliano Berti

DOI: 10.4208/ata.OA-0013

Anal. Theory Appl., 35 (2019), pp. 235-267.

Published online: 2019-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-periodic solutions of Hamiltonian or reversible partial differential equations. We provide an overview of the state of the art in this field.

  • Keywords

KAM for PDEs, quasi-periodic solutions, small divisors, infinite dimensional Hamiltonian and reversible systems, water waves, nonlinear wave and Schrödinger equations, KdV.

  • AMS Subject Headings

37K55, 37J40, 37C55, 76B15, 35S05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-35-235, author = {Massimiliano Berti}, title = {KAM Theory for Partial Differential Equations}, journal = {Analysis in Theory and Applications}, year = {2019}, volume = {35}, number = {3}, pages = {235--267}, abstract = {

In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-periodic solutions of Hamiltonian or reversible partial differential equations. We provide an overview of the state of the art in this field.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0013}, url = {http://global-sci.org/intro/article_detail/ata/13115.html} }
TY - JOUR T1 - KAM Theory for Partial Differential Equations AU - Massimiliano Berti JO - Analysis in Theory and Applications VL - 3 SP - 235 EP - 267 PY - 2019 DA - 2019/04 SN - 35 DO - http://doi.org/10.4208/ata.OA-0013 UR - https://global-sci.org/intro/article_detail/ata/13115.html KW - KAM for PDEs, quasi-periodic solutions, small divisors, infinite dimensional Hamiltonian and reversible systems, water waves, nonlinear wave and Schrödinger equations, KdV. AB -

In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-periodic solutions of Hamiltonian or reversible partial differential equations. We provide an overview of the state of the art in this field.

Massimiliano Berti. (2019). KAM Theory for Partial Differential Equations. Analysis in Theory and Applications. 35 (3). 235-267. doi:10.4208/ata.OA-0013
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