How can they be sure they got it right when the previous canonical knowledge (Schauder) turned out to be false?

Sniffnoy 3 hours ago | parent | next [-]

In what way did Schauder's work turn out to be false? It simply doesn't apply to the situations discussed here.

	▲	storus an hour ago \| parent [-]
		There 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"

empath75 3 hours ago | parent | prev [-]

It wasn't wrong. It was proved for uniform materials. This paper extends it to non-uniform materials, with an additional condition.