caa a22 4500 606210067 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00032-015-0242-1 doi (NATIONALLICENCE)springer-10.1007/s00032-015-0242-1 Gal Ciprian Department of Mathematics, Florida International University, DM 435B, 33199, Miami, FL, USA aut The Role of Surface Diffusion in Dynamic Boundary Conditions: Where Do We Stand? [Elektronische Daten] [Ciprian Gal] In this study, we investigate reaction-diffusion and elliptic-like equations with two classes of dynamic boundary conditions, of reactive and reactive-diffusive type. We provide sharp upper and lower bounds on the dimension of the global attractor in all these cases. In particular, we emphasize how surface diffusion can act as a damping force in reducing the degree of complexity in these systems. We obtain a new Weyl asymptotic law for eigenvalue sequences associated with a family of perturbed Wentzell operators which is of independent interest. Springer Basel, 2015 Dynamic nationallicence dynamical nationallicence global attractor nationallicence Weyl law nationallicence Wentzell Laplacian nationallicence elliptic nationallicence parabolic nationallicence reaction-diffusion nationallicence Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 237-278 1424-9286 83:2<237 2015 83 32 https://doi.org/10.1007/s00032-015-0242-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0242-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gal Ciprian Department of Mathematics, Florida International University, DM 435B, 33199, Miami, FL, USA aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 237-278 1424-9286 83:2<237 2015 83 32