We present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.
Hessian determinants as elements of dual Sobolev spaces / Radice, Teresa. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - 224:2(2014), pp. 183-190. [10.4064/sm224-2-6]
Hessian determinants as elements of dual Sobolev spaces
RADICE, TERESA
2014
Abstract
We present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.File in questo prodotto:
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