| Abstract: |
| We consider linear one-dimensional strongly degenerate parabolic equations with measurable coefficients that may be degenerate or singular. Taking 0 as the point where the strong degeneracy occurs, we assume that the coefficients a=a(x) in the principal part of the parabolic equation is such that the function a->x/a(x) is in L^p(0,1) for some p>1. After establishing some spectral estimates for the corresponding elliptic problem, we prove that the parabolic equation is null controllable in the energy space by using one boundary control. |
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