Continuity of attractors for a reaction–diffusion problem with nonlinear boundary conditions with respect to variations of the domain
AL Pereira, MC Pereira - Journal of Differential Equations, 2007 - Elsevier
Journal of Differential Equations, 2007•Elsevier
… In this work we show, for a class of dissipative semilinear parabolic problems, that the
global compact attractor varies continuously with respect to parameters in the equations.
Applications to a parabolic … In Section 3 we prove continuity of attractors in a abstract
setting. These results are applied to our context in Section 4 to obtain the upper and lower
continuity of attractors. To this end we needed to prove some auxiliary results of calculus in
Banach spaces. We leave to the last section a technical part of the proof concerning the …
global compact attractor varies continuously with respect to parameters in the equations.
Applications to a parabolic … In Section 3 we prove continuity of attractors in a abstract
setting. These results are applied to our context in Section 4 to obtain the upper and lower
continuity of attractors. To this end we needed to prove some auxiliary results of calculus in
Banach spaces. We leave to the last section a technical part of the proof concerning the …
In this work we show, for a class of dissipative semilinear parabolic problems, that the global compact attractor varies continuously with respect to parameters in the equations. Applications to a parabolic problem with nonlinear boundary conditions are also obtained.
Elsevier
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