Titlebook: Contemporary Research in Elliptic PDEs and Related Topics; Serena Dipierro Book 2019 Springer Nature Switzerland AG 2019 Partial different

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Introduction to Controllability of Nonlinear Systems,y of symmetric systems. We then introduce the theory of compatible vector fields and we apply it to study control-affine systems with a recurrent drift or satisfying the strong Lie bracket generating assumption. We conclude with a general discussion about the orbit theorem by Sussmann and Nagano.

惡名聲

努力趕上

https://doi.org/10.1007/978-0-387-09705-3et al. (SIAM J. Math. Anal. 49, 4595–4624, 2017) for two lines bounding a strip. The main goal is to compare the speed of propagation in the direction of the line(s) of these situations with the cases of a plane with one and two lines on which the diffusion is different with respect to the rest of the planar domain.

清晰

Getting Acquainted with the Fractional Laplacian,mporary Research in elliptic PDEs and related topics”. Without any intention to serve as a throughout epitome to the subject, we hope that these notes can be of some help for a very initial introduction to a fascinating field of classical and modern research.

對手

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Monotonicity Formulas for Static Metrics with Non-zero Cosmological Constant, study non-singular vacuum static space-times with non-zero cosmological constant. We introduce new integral quantities, and under suitable assumptions we prove their monotonicity along the level set flow of the static potential. We then show how to use these properties to derive a number of sharp g

CAMEO

Introduction to Controllability of Nonlinear Systems,ebra generated by a family of vector fields. We then prove the Krener theorem on local accessibility and the Chow-Rashevskii theorem on controllability of symmetric systems. We then introduce the theory of compatible vector fields and we apply it to study control-affine systems with a recurrent drif

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指數(shù)

Harnack and Pointwise Estimates for Degenerate or Singular Parabolic Equations,orm. We start reviewing the elliptic case with some of its variants and geometrical consequences. The linear parabolic Harnack inequality of Moser is discussed extensively, together with its link to two-sided kernel estimates and to the Li-Yau differential Harnack inequality. Then we overview the mo

允許

,Maximum Principles at Infinity and the Ahlfors-Khas’minskii Duality: An Overview,ion. Math Z 270(1):65–177, 2011), Mari and Valtorta (Trans Am Math Soc 365(9):4699–4727, 2013), and Mari and Pessoa (Commun Anal Geom, to appear). Motivations come from the desire to give a unifying potential-theoretic framework for various maximum principles at infinity appearing in the literature