In particular, based on an Osgood type blow-up criteria, we find relatively sharp bounds of the blow-up time in the caseA &gt

The translation and rotation invariance of these equations combined with the anisotropic structure of regions of high vorticity allowed to establish a new geometric non

Abstract: We consider the semilinear wave equation with power nonlinearity in one space dimension. Given a blow-up solution with a characteristic point, we refine the blow-up

Also, we can see in [14] refined estimates near the isolated blow-up points and the bubbling behavior of the blow-up sequences.. We have

In this section, we will prove that the α − Szeg˝o equation (1.6) admits the large time blow up as in Theorem 1.3, we will also give an example to describe this phenomenon in terms

Rakotoson, On very weak solutions of semi-linear elliptic equations in the frame- work of weighted spaces with respect to the distance to the boundary, Discrete and Continuous

Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation... initial data and to the blow-up point for a semilinear

This was the case for the construction of multi-solitons for the semilinear wave equation in one space dimension by Cˆ ote and Zaag [CZ13], the wave maps by Rapha¨ el and

Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Higher-dimensional blow up for semilinear parabolic