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.
@article{JEDP_2000____A8_0, author = {Kajitani, Kunihiko}, title = {Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, year = {2000}, pages = {1-14}, zbl = {01808698}, language = {en}, url = {http://dml.mathdoc.fr/item/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), pp. 1-14. http://gdmltest.u-ga.fr/item/JEDP_2000____A8_0/
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