6533b82dfe1ef96bd1291228

RESEARCH PRODUCT

De Giorgi–Nash–Moser Theory

Xiao Zhong

subject

Sobolev spacePhysicsPure mathematicsWeak solutionStructure (category theory)Nabla symbolDivergence (statistics)Harnack's inequalitySobolev inequality

description

We consider the second-order, linear, elliptic equations with divergence structure $$\mathrm{div} (\mathbb{A}(x)\nabla u(x))\;=\;\sum\limits^n_{i,j=1}\;\partial_{x_{i}}(a_{ij}(x)\partial_{x_{j}}u(x))\;=\;0.$$

https://doi.org/10.1007/978-3-0348-0408-0_4