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Optimal shape and location of sensors or actuators in PDE models
(Proceedings of the American Control Conference, 2014-12-31)
We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ...
Counterexample of loss of regularity for fractional order evolution equations with both degenerating and oscillating coefficients
(Nonlinear Analysis, Theory, Methods and Applications, 2014-12-31)
For weak evolution models of fractional order with singularity near the origin, the joint influence from the principal œÉ-Laplacian operator, degenerating part and oscillating part is of prime concern in the discussion of ...