Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains [PDF]
, 2008 We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schr\"odinger operators on bounded Lipschitz domains in $\bbR^n$, $n\ge 2$. We also discuss the case of bounded $C^{1,r}$-domains, $(1/2)
Fritz Gesztesy, Marius Mitrea
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Researches in Mathematics, 2016 We show the method to expand functions being integrable with a weight on the interval, and satisfying conditions of integral Lipschitz type, on the whole line. We prove that the differential properties of such functions are kept at the expansion.
S.V. Goncharov
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Researches in Mathematics, 2014 We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $[-1;1]$.
S.V. Goncharov
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Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces
Journal of Computational and Applied Mathematics, 2018 Abhimanyu Kumar +3 more
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Backward stochastic differential equations with unbounded generators [PDF]
, 2018 In this paper we consider two classes of backward stochastic differential equations. Firstly, under a Lipschitz-type condition on the generator of the equation, which can also be unbounded, we give sufficient conditions for the existence of a unique ...
Gashi, Bujar, Li, Jiajie
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The Nagaev-Guivarc'h method via the Keller-Liverani theorem [PDF]
, 2010 The Nagaev-Guivarc'h method, via the perturbation operator theorem of Keller and Liverani, has been exploited in recent papers to establish local limit and Berry-Essen type theorems for unbounded functionals of strongly ergodic Markov chains.
Hervé, Loïc, Pène, Françoise
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Strong solutions for stochastic differential equations with jumps [PDF]
, 2010 General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada-Watanabe type.
Li, Zenghu, Mytnik, Leonid
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Skew convolution semigroups and affine Markov processes [PDF]
, 2006 A general affine Markov semigroup is formulated as the convolution of a homogeneous one with a skew convolution semigroup. We provide some sufficient conditions for the regularities of the homogeneous affine semigroup and the skew convolution semigroup ...
Dawson, D. A., Li, Zenghu
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Optimal distributed control of an extended model of tumor growth with logarithmic potential [PDF]
, 2018 This paper is intended to tackle the control problem associated with an extended phase field system of Cahn-Hilliard type that is related to a tumor growth model.
Signori, Andrea
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Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits [PDF]
, 2018 We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as ...
Filipkovska, Maria
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