LOCAL SOLUTION AND BLOW-UP FOR A NONLINEAR BEAM EQUATION OF KIRCHHOFF TYPE WITH DISSIPATIVE TERM
DOI:
https://doi.org/10.15381/pes.v14i2.9593Keywords:
Local solution, Nonlinear beam equation of Kirchhoff type, Galerkin method, Fixed point method, Blow-up of solutions.Abstract
In present work, we considered a mixed problem for a nonlinear beam equation of Kirchhoff type with dissipative term in a bounded domain. We prove the existence and uniqueness of local solutions with arguments of the fixed point of Banach. Also we obtain the blow-up properties in finite time of solutions and the estimates for the explosion time.
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Copyright (c) 2011 Teófanes Quispe Méndez
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