An $$L^{p}$$-Approach to the Well-Posedness of Transport Equations Associated to a Regular Field: Part II
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DOI: 10.1007/s00009-019-1426-7
Abstract: We investigate transport equations associated to a Lipschitz field on some subspace of $\mathbb{R}^N$ endowedwith a general measure $\mu$ in $L^{p}$-spaces $1 < p read more here.
Keywords: equations associated; field; transport; approach well ... See more keywords
Schauder Estimates for Equations Associated with Lévy Generators
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DOI: 10.1007/s00020-019-2508-4
Abstract: We study the regularity of solutions to the integro-differential equation $$Af-\lambda f=g$$Af-λf=g associated with the infinitesimal generator A of a Lévy process. We show that gradient estimates for the transition density can be used to… read more here.
Keywords: equations associated; associated generators; estimates equations; infinitesimal generator ... See more keywords
On the limits of discrete Painlevé equations associated with the affine Weyl group E8
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DOI: 10.1063/1.4978330
Abstract: We study the discrete Painleve equations that can be obtained as limits from the equations associated with the affine Weyl group E8(1). We obtain equations associated with the groups E7(1) and E6(1) as well as… read more here.
Keywords: weyl group; associated affine; equations associated; affine weyl ... See more keywords
Remarks on fully nonlinear equations associated with doubling lemma
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DOI: 10.1080/00036811.2019.1566531
Abstract: ABSTRACT In this paper, we present applications of the doubling lemma to nonlinear equations, including a k-Hessian equation and an integral equation of Wolff-type. read more here.
Keywords: fully nonlinear; equations associated; associated doubling; doubling lemma ... See more keywords
An open mapping theorem for nonlinear operator equations associated with elliptic complexes
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DOI: 10.1080/00036811.2021.2021190
Abstract: Let {A, E} be the elliptic complex on a n-dimensional smooth closed Riemannian manifold X with the first order differential operators A and smooth vector bundles E over X. We consider nonlinear operator equations, associated… read more here.
Keywords: order; nonlinear operator; differential operators; equations associated ... See more keywords
Infinity-Laplacian type equations and their associated Dirichlet problems
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DOI: 10.1080/17476933.2018.1544632
Abstract: ABSTRACT In this paper, we study the Dirichlet problem associated with infinity-Laplacian type equations that may exhibit anisotropic character. We identify a broad class of nonlinearities for which the problem may or may not admit… read more here.
Keywords: laplacian type; equations associated; dirichlet; type equations ... See more keywords