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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書目名稱Integro-Differential Elliptic Equations影響因子(影響力)




書目名稱Integro-Differential Elliptic Equations影響因子(影響力)學科排名




書目名稱Integro-Differential Elliptic Equations網絡公開度




書目名稱Integro-Differential Elliptic Equations網絡公開度學科排名




書目名稱Integro-Differential Elliptic Equations被引頻次




書目名稱Integro-Differential Elliptic Equations被引頻次學科排名




書目名稱Integro-Differential Elliptic Equations年度引用




書目名稱Integro-Differential Elliptic Equations年度引用學科排名




書目名稱Integro-Differential Elliptic Equations讀者反饋




書目名稱Integro-Differential Elliptic Equations讀者反饋學科排名

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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 H?lder 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 H?lder 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.

六邊形

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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