Degenerate elliptic operators in one dimension
نویسندگان
چکیده
منابع مشابه
Degenerate elliptic operators in one dimension
Let H be the symmetric second-order differential operator on L2(R) with domain C c (R) and action Hφ = −(c φ ) where c ∈ W 1,2 loc (R) is a real function which is strictly positive on R\{0} but with c(0) = 0. We give a complete characterization of the self-adjoint extensions and the submarkovian extensions of H . In particular if ν = ν+ ∨ ν− where ν±(x) = ± ∫ ±1 ±x c then H has a unique self-ad...
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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2010
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-010-0068-9