3 ms·
How can they be sure they got it right when the previous canonical knowledge (Schauder) turned out to be false?
by storus 8mo ago
How can they be sure they got it right when the previous canonical knowledge (Schauder) turned out to be false?
- Sniffnoy 8mo agoIn what way did Schauder's work turn out to be false? It simply doesn't apply to the situations discussed here.
- storus 8mo agoThere was this sentence in the article: "...he realized that nonuniformly elliptic PDEs that seem well behaved can have irregular solutions even when they satisfy the condition Schauder had identified"
- Sniffnoy 8mo agoYes, nonuniformly elliptic PDEs. Schauder's theorem applies to uniformly elliptic PDEs.
- empath75 8mo agoIt wasn't wrong. It was proved for uniform materials. This paper extends it to non-uniform materials, with an additional condition.