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.
Kunihiko Kajitani. 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
@incollection{JEDP_2000____A8_0,
author = {Kunihiko Kajitani},
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://proceedings.centre-mersenne.org/articles/10.5802/jedp.572/}
}
TY - JOUR AU - Kunihiko Kajitani 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://proceedings.centre-mersenne.org/articles/10.5802/jedp.572/ DO - 10.5802/jedp.572 LA - en ID - JEDP_2000____A8_0 ER -
%0 Journal Article %A Kunihiko Kajitani %T Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations %J Journées équations aux dérivées partielles %] 8 %D 2000 %P 1-14 %I Université de Nantes %U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.572/ %R 10.5802/jedp.572 %G en %F JEDP_2000____A8_0
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