Properties of switching jump diffusions: Maximum principles and Harnack inequalities [PDF]
Bernoulli, 2018 This work examines a class of switching jump diffusion processes. The main effort is devoted to proving the maximum principle and obtaining the Harnack inequalities.
Xiaoshan Chen +3 more
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Maximum principles for parabolic systems coupled in both first-order and zero-order terms
International Journal of Mathematics and Mathematical Sciences, 1994 Some generalized maximum principles are established for linear second-order parabolic systems in which both first-order and zero-order terms are coupled.
Chiping Zhou
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A note on boundary point principles for partial differential inequalities of elliptic type
Boundary Value Problems, 2022 In this note we consider boundary point principles for partial differential inequalities of elliptic type. First, we highlight the difference between the conditions required to establish classical strong maximum principles and classical boundary point ...
John Christopher Meyer
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Finite volume schemes for diffusion equations: introduction to and review of modern methods [PDF]
, 2014 We present Finite Volume methods for diffusion equations on generic meshes, that received important coverage in the last decade or so. After introducing the main ideas and construction principles of the methods, we review some literature results ...
Droniou, Jerome
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Maximum principles in symplectic homology [PDF]
Israel Journal of Mathematics, 2017 In the setting of symplectic manifolds which are convex at infinity, we use a version of the Aleksandrov maximum principle to derive uniform estimates for Floer solutions that are valid for a wider class of Hamiltonians and almost complex structures than
W. Merry, I. Uljarević
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New maximum principles for linear elliptic equations
, 2006 We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\Bbb{R}^{\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$.
Kuo, Hung-Ju, Trudinger, Neil S.
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Strong maximum principles for fractional Laplacians [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We give a unified approach to strong maximum principles for a large class of nonlocal operators of order s ∈ (0, 1) that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.
R. Musina, A. Nazarov
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Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
, 2010 In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold +65 more
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A Liouville type theorem for a class of anisotropic equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.
Barbu Luminiţa, Enache Cristian
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On Korenblum’s maximum principle [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: If \(f\) and \(g\) are analytic functions in the unit disk and \(|\cdot|\) is the Bergman norm, conditions are studied under which there exists an absolute constant \(c\) such that \(|f(z)|\geq|g(z)|\) for \(c\leq|z|
openaire +2 more sources