Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
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DOI: 10.1007/s11785-017-0673-5
Abstract: We consider parabolic operators of fractional order and their iterates on the upper half space of the euclidean space. We deal with Hilbert spaces of solutions of those parabolic equations. We shall show, in this… read more here.
Keywords: space; reproducing kernels; parabolic operators; half space ... See more keywords
Qualitative properties of nonlinear parabolic operators
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DOI: 10.1016/j.jmaa.2016.11.006
Abstract: Abstract It is a natural expectation that the mathematical models of real-life phenomena have to possess some characteristic qualitative properties of the original process. For parabolic problems the main known qualitative properties are the maximum–minimum… read more here.
Keywords: nonlinear parabolic; properties nonlinear; qualitative properties; parabolic operators ... See more keywords
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems
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DOI: 10.1016/j.jmaa.2018.07.015
Abstract: Abstract The solution of a parabolic problem is expected to reproduce the basic qualitative properties of the original phenomenon, such as nonnegativity/nonpositivity preservation, maximum/minimum principles and maximum norm contractivity, without which the model might lead… read more here.
Keywords: case pde; operators case; parabolic operators; nonlinear parabolic ... See more keywords
Existence and Uniqueness of Generalized Solutions of Variational Inequalities with Fourth-Order Parabolic Operators in Finance
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DOI: 10.3390/sym14091773
Abstract: In the present study, we analyze a kind of variation-inequality problem based on symmetric structure, which also incorporates fourth-order parabolic operators with a degenerate type. The penalty method is used to construct the approximate solution… read more here.
Keywords: finance; existence uniqueness; fourth order; order parabolic ... See more keywords