Teresa Radice
Abstract
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In this short note 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.
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In this short note 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.
Key concepts: Hessian matrix, Hessian equation, Mathematics, Sobolev space, Dual (grammatical number), Sobolev inequality, Space (punctuation), Pure mathematics