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On the existence of solutions to the equation $$u_{tt}=u_{xxt}+\sigma (u_x)_x$$. (English) Zbl 0415.35018

##### MSC:
 35G20 Nonlinear higher-order PDEs 35A07 Local existence and uniqueness theorems (PDE) (MSC2000) 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B45 A priori estimates in context of PDEs 35B50 Maximum principles in context of PDEs
##### Keywords:
existence of solutions; nonlinear third-order equation
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##### References:
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