@Article{CSIAM-AM-4-696,
author = {Wang , TianjiaoLin , Yiwen and Xu , Xiang},
title = {A Priori Bounds for Elastic Scattering by Deterministic and Random Unbounded Rough Surfaces},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2023},
volume = {4},
number = {4},
pages = {696--720},
abstract = {<p style="text-align: justify;">This paper investigates the elastic scattering by unbounded deterministic
and random rough surfaces, both of which are assumed to be graphs of Lipschitz continuous functions. For the deterministic case, an a priori bound explicitly dependent
on frequencies is derived by the variational approach. For the scattering by random
rough surfaces with a random source, well-posedness of the corresponding variation
problem is proved. Moreover, a similar bound with explicit dependence on frequencies for the random case is also established based upon the deterministic result, Pettis
measurability theorem and Bochner’s integrability theorem.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2023-0001},
url = {http://global-sci.org/intro/article_detail/csiam-am/22075.html}
}