Elastic membrane equation in bounded and unbounded domains.
Clark, H.R. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Clark, H.R. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Stefano Panizzi (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Vasconcellos, Carlos Frederico (1988)
International Journal of Mathematics and Mathematical Sciences
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Kunihiko Kajitani (2000)
Journées équations aux dérivées partielles
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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.
Muñoz Rivera, Jaime E. (1994)
International Journal of Mathematics and Mathematical Sciences
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Mircea Sofonea (1990)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Amin Esfahani (2014)
Applications of Mathematics
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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.
L. A. Medeiros, M. Milla Miranda (1990)
Revista Matemática de la Universidad Complutense de Madrid
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Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
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