Publication Date:
2009-01-01
Description:
We prove the interior approximate controllability of the following broad class of reaction diffusion equation in the Hilbert spacesZ=L2(Ω)given byz′=−Az+1ωu(t),t∈[0,τ], whereΩis a domain inℝn,ωis an open nonempty subset ofΩ,1ωdenotes the characteristic function of the setω, the distributed controlu∈L2(0,t1;L2(Ω))andA:D(A)⊂Z→Zis an unbounded linear operator with the following spectral decomposition:Az=∑j=1∞λj∑k=1γj〈z,ϕj,k〉ϕj,k. The eigenvalues0
Print ISSN:
1024-123X
Electronic ISSN:
1563-5147
Topics:
Mathematics
,
Technology
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