Nonstandard representation of the Dirichlet form and application to the comparison theorem
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DOI: 10.1002/mana.202300246
Abstract: The Dirichlet form is a generalization of the Laplacian, heavily used in the study of many diffusion‐like processes. In this paper, we present a nonstandard representation theorem for the Dirichlet form, showing that the usual… read more here.
Keywords: nonstandard representation; comparison theorem; dirichlet form; dirichlet ... See more keywords
The Primitive Comparison Theorem in characteristic p
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DOI: 10.1007/s00209-024-03613-6
Abstract: We prove an analogue of Scholze’s Primitive Comparison Theorem for proper rigid spaces over an algebraically closed non-archimedean field K of characteristic p. This implies a v-topological version of the Primitive Comparison Theorem for proper… read more here.
Keywords: theorem; document; primitive comparison; usepackage ... See more keywords
Comparison theorem for diagonally quadratic BSDEs
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DOI: 10.3934/dcds.2020374
Abstract: The present work is devoted to study comparison and converse comparison theorems for diagonally quadratic BSDEs. We give sufficient and necessary conditions under which the comparison holds. Sufficient and necessary conditions for non-positive and non-negative… read more here.
Keywords: quadratic bsdes; theorem diagonally; diagonally quadratic; comparison theorem ... See more keywords