We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
@incollection{JEDP_2000____A8_0,
author = {Kajitani, Kunihiko},
title = {Propagation of analyticity of solutions to the {Cauchy} problem for {Kirchhoff} type equations},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {8},
pages = {1--14},
year = {2000},
publisher = {Universit\'e de Nantes},
doi = {10.5802/jedp.572},
zbl = {01808698},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jedp.572/}
}
TY - JOUR AU - Kajitani, Kunihiko TI - Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations JO - Journées équations aux dérivées partielles PY - 2000 SP - 1 EP - 14 PB - Université de Nantes UR - https://www.numdam.org/articles/10.5802/jedp.572/ DO - 10.5802/jedp.572 LA - en ID - JEDP_2000____A8_0 ER -
%0 Journal Article %A Kajitani, Kunihiko %T Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations %J Journées équations aux dérivées partielles %D 2000 %P 1-14 %I Université de Nantes %U https://www.numdam.org/articles/10.5802/jedp.572/ %R 10.5802/jedp.572 %G en %F JEDP_2000____A8_0
Kajitani, Kunihiko. Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations. Journées équations aux dérivées partielles (2000), article no. 8, 14 p.. doi: 10.5802/jedp.572
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