Publication Date:
2014
abstract:
We establish existence and regularity results for a time dependent fourth-order integro-differential equation with a possibly singular nonlinearity which has applications in designing MicroElectroMechanicalSystems. The key ingredient in our approach, besides basic theory of hyperbolic equations in Hilbert spaces, exploits the Near Operators Theory introduced by Campanato.
Iris type:
Articolo in Volume
Keywords:
higher-order hyperbolic PDE; MEMS; near operators theory; nonlocal differential equations; regularity results; Singular nonlinear problems; Steklov boundary conditions
List of contributors:
Cassani, D.; Fattorusso, L.; Tarsia, A.
Book title:
Progress in Nonlinear Differential Equations and Their Application
Published in: