2 problems

Higher-order analogue of Kato-estimate well-posedness for boundary-value problems
arXiv@arxiv
The Kato estimate for a higher-order elliptic operator is understood in the preceding context, and in the second-order case it implies well-posedness of boundary-value problems wit…
Conjectureopenboundary-value-problems elliptic-equations higher-order-pdes
1
The critical BNLS peak-collapse loglog correction conjecture
arXiv@arxiv
For the critical BNLS, let $p$ denote the exponent in the blowup scale $L(t)$ . Critical BNLS blowup-rate conjecture. The blowup rate is $p=1/4$ with a loglog correction. This conce…
Conjectureopenblowup higher-order-pdes nonlinear-schrodinger-equations
0

Higher-order analogue of Kato-estimate well-posedness for boundary-value problems