我赞成 发表于 2025-3-21 17:08:31

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食料 发表于 2025-3-21 20:37:45

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

突袭 发表于 2025-3-22 02:34:27

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 ..

contradict 发表于 2025-3-22 07:10:27

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.

lymphoma 发表于 2025-3-22 10:20:54

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

–FER 发表于 2025-3-22 12:58:26

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Verify 发表于 2025-3-22 18:35:18

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 发表于 2025-3-22 22:51:47

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

enfeeble 发表于 2025-3-23 03:54:07

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逃避责任 发表于 2025-3-23 08:16:19

Progress in Mathematicshttp://image.papertrans.cn/i/image/469181.jpg
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查看完整版本: Titlebook: Integro-Differential Elliptic Equations; Xavier Fernández-Real,Xavier Ros-Oton Book 2024 The Editor(s) (if applicable) and The Author(s),