Results 31 to 40 of about 726,333 (182)
On Leighton's comparison theorem
Journal of Differential Equations, 2017 We give a simple proof of a fairly flexible comparison theorem for equations of the type $-(p(u'+su))'+rp(u'+su)+qu=0$ on a finite interval where $1/p$, $r$, $s$, and $q$ are real and integrable. Flexibility is provided by two functions which may be chosen freely (within limits) according to the situation at hand.
Ghatasheh, Ahmed, Weikard, Rudi
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Logarithmic Comparison Theorems
, 2023 35 pages; to appear in Handbook of Geometry and Topology of Singularities ...
Castro-Jiménez, Francisco-Jesús +2 more
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Log $\mathscr{D}$-modules and index theorems
Forum of Mathematics, Sigma, 2021 We study log $\mathscr {D}$-modules on smooth log pairs and construct a comparison theorem of log de Rham complexes. The proof uses Sabbah’s generalized b-functions.
Lei Wu, Peng Zhou
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On Area Comparison and Rigidity Involving the Scalar Curvature [PDF]
, 2013 We prove a splitting theorem for Riemannian n-manifolds with scalar curvature bounded below by a negative constant and containing certain area-minimising hypersurfaces (Theorem 3). Thus we generalise [25,Theorem 3] by Nunes. This splitting result follows
Moraru, Vlad
core
Toponogov comparison theorem for open triangles
, 2011 Dedicated to Professor Gromoll: The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian manifold with smooth convex boundary.
Kondo, Kei, Tanaka, Minoru
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Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications
MathematicsWe investigate a class of quadratic backward stochastic differential equations (BSDEs) with generators that are singular in y. First, we establish the existence of solutions and a comparison theorem, thereby extending the existing results in the ...
Wenbo Wang, Guangyan Jia
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Stochastic viability and comparison theorems for mixed stochastic differential equations
, 2012 For a mixed stochastic differential equation containing both Wiener process and a H\"older continuous process with exponent $\gamma>1/2$, we prove a stochastic viability theorem.
Melnikov, Alexander +2 more
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Levine's motivic comparison theorem revisited [PDF]
, 2006 For a field of characteristic zero, M. Levine has proved that his category of triangulated motives is equivalent to the one constructed by V. Voevodsky.
Ivorra, Florian
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Heegaard Floer homology as morphism spaces
, 2011 In this paper we prove another pairing theorem for bordered Floer homology. Unlike the original pairing theorem, this one is stated in terms of homomorphisms, not tensor products.
Lipshitz, Robert +2 more
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Mendel, 2023 We deal with fractional mean field backwardWe deal with fractional mean field backward stochastic differential equations with hurst parameter $H\in (\frac{1}{2},1)$ when the coefficient $f$ satisfy a stochastic Lipschitz conditions, we prove the ...
Mostapha Abdelouahab Saouli
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