We obtained the spatial growth and decay estimates for solutions of a class of quasilinear equations modelling dynamic viscoelasticity in a domain Omega x (0, T), where Omega subset of R-n is a semi-infinite cylinder. (C) ...

We obtained decay and growth estimates for solutions of second-order and third-order differential-operator equations in a Hilbert space. Applications to initial-boundary value problems for linear and nonlinear non-stationary ...

We consider an inverse problem for quasilinear parabolic equations with type power nonlinearity. Sufficient conditions on initial data for blow up result are obtained with positive initial energy. Over determination condition ...

The aim of this study is to present spatial estimates of Phragmen-Lindelof type for a dynamical system. We show that an appropriate measure of the solutions either tends to infinity by exponential rate or decays to zero ...