Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials

Cung The Anh, and Ta Thi Hong Yen. "Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials." Annales Polonici Mathematici 102.2 (2011): 161-186. <http://eudml.org/doc/280424>.

@article{CungTheAnh2011,
abstract = {Using the asymptotic a priori estimate method, we prove the existence of a pullback -attractor for a reaction-diffusion equation with an inverse-square potential in a bounded domain of $ℝ^\{N\}$ (N ≥ 3), with the nonlinearity of polynomial type and a suitable exponential growth of the external force. Then under some additional conditions, we show that the pullback -attractor has a finite fractal dimension and is upper semicontinuous with respect to the parameter in the potential.},
author = {Cung The Anh, Ta Thi Hong Yen},
journal = {Annales Polonici Mathematici},
keywords = {fractal dimension; upper semicontinuity; compactness method; asymptotic a priori estimate; inverse-square potential},
language = {eng},
number = {2},
pages = {161-186},
title = {Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials},
url = {http://eudml.org/doc/280424},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Cung The Anh
AU - Ta Thi Hong Yen
TI - Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 2
SP - 161
EP - 186
AB - Using the asymptotic a priori estimate method, we prove the existence of a pullback -attractor for a reaction-diffusion equation with an inverse-square potential in a bounded domain of $ℝ^{N}$ (N ≥ 3), with the nonlinearity of polynomial type and a suitable exponential growth of the external force. Then under some additional conditions, we show that the pullback -attractor has a finite fractal dimension and is upper semicontinuous with respect to the parameter in the potential.
LA - eng
KW - fractal dimension; upper semicontinuity; compactness method; asymptotic a priori estimate; inverse-square potential
UR - http://eudml.org/doc/280424
ER -