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Results tagged with ap.analysis-of-pdes
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user 497001
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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Weak solution of elliptic differential equation of divergence type
Assume that $u\in W^{1,2}(B^n,R)$ is a weak solution to the elliptic pde of type $$\sum_{i,j=1}^n\partial_j \left(a_{ij}(x) \partial_i u(x)\right)=f\in L^p(B^n),$$ where $n/2<p<n$, and $A=(a_{ij}(x))$ …
