We obtain integral representation formulae for functions which satisfy in the sense of distributions in , where μ is a positive Radon measure on and is a nonconstant real polynomial whose roots belong to the interval , , . Further, we apply these results to a number of nonhomogeneous higher order differential inequalities.
Representation formulae for nonhomogeneous differential operators and applications to PDEs
Lorenzo D'Ambrosio
;
2022-01-01
Abstract
We obtain integral representation formulae for functions which satisfy in the sense of distributions in , where μ is a positive Radon measure on and is a nonconstant real polynomial whose roots belong to the interval , , . Further, we apply these results to a number of nonhomogeneous higher order differential inequalities.File in questo prodotto:
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