Titlebook: Integro-Differential Elliptic Equations; Xavier Fernández-Real,Xavier Ros-Oton Book 2024 The Editor(s) (if applicable) and The Author(s),

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书目名称Integro-Differential Elliptic Equations影响因子(影响力)




书目名称Integro-Differential Elliptic Equations影响因子(影响力)学科排名




书目名称Integro-Differential Elliptic Equations网络公开度




书目名称Integro-Differential Elliptic Equations网络公开度学科排名




书目名称Integro-Differential Elliptic Equations被引频次




书目名称Integro-Differential Elliptic Equations被引频次学科排名




书目名称Integro-Differential Elliptic Equations年度引用




书目名称Integro-Differential Elliptic Equations年度引用学科排名




书目名称Integro-Differential Elliptic Equations读者反馈




书目名称Integro-Differential Elliptic Equations读者反馈学科排名

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Book 2024t century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on prov

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The Square Root of the Laplacian,principle, compute its Poisson kernel in a ball and find the corresponding mean value property, deduce the Harnack inequality, and establish interior regularity estimates. Finally, we construct some explicit solutions and develop the analogous results for the fractional Laplacian ., with ..

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Linear Integro-differential Equations,lop the interior regularity theory for these operators and then extend it to the more general setting of .-dependent operators, both in divergence and in non-divergence form. Finally, we study the Hölder regularity of solutions up to the boundary and conclude the chapter by presenting some further results and open problems.

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The Square Root of the Laplacian, properties, including the harmonic extension representation and the corresponding heat kernel and fundamental solution. We then prove the comparison principle, compute its Poisson kernel in a ball and find the corresponding mean value property, deduce the Harnack inequality, and establish interior

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Fully Nonlinear Equations,xistence and then prove the Harnack inequality and Hölder estimates for equations with “bounded measurable coefficients.” After that, we establish the main interior regularity estimates in both the general and the concave/convex case and conclude with a brief discussion of some open problems.

六边形

Obstacle Problems,h operators in Lipschitz domains, a crucial tool in the regularity theory for free boundary problems. After that, we establish the smoothness of free boundaries near regular points and prove the optimal regularity of solutions. We finish the chapter with a brief discussion of some further results an

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