Cauchy data space and multisymplectic formulation of conformal classical field theories
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Physics"
DOI: 10.1016/j.aop.2021.168616
Abstract: In this article we inspect the dynamics of classical field theories with a local conformal behavior. Our interest in the multisymplectic setting comes from its suitable description of field theories, and the conformal character has… read more here.
Keywords: cauchy data; field; classical field; data space ... See more keywords
Cauchy data spaces and Atiyah–Patodi–Singer index on non-compact manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.05.030
Abstract: Abstract We study the Cauchy data spaces of the strongly Callias-type operators using maximal domain on manifolds with non-compact boundary, with the aim of understanding the Atiyah–Patodi–Singer index and elliptic boundary value problems. read more here.
Keywords: atiyah patodi; patodi singer; cauchy data; data spaces ... See more keywords
Wave propagation from lateral Cauchy data using a boundary element method
Sign Up to like & getrecommendations! Published in 2019 at "Wave Motion"
DOI: 10.1016/j.wavemoti.2019.102385
Abstract: Abstract The wave equation with lateral Cauchy data is considered in three-dimensional annular domains. It is a linear inverse ill-posed problem, where data in the form of the function values and normal derivative is given… read more here.
Keywords: system; cauchy data; cauchy; boundary element ... See more keywords