×

Regularity of the parametrix of a problem with oblique derivative. (English. Russian original) Zbl 1060.35172

Russ. Math. Surv. 56, No. 6, 1179-1180 (2001); translation from Usp. Mat. Nauk 56, No. 6, 137-138 (2001).
The author announces \(L^p\) a priori estimates for the solution operator of a problem with oblique derivative boundary condition [see V. G. Maz’ya and B. P. Paneah, Funct. Anal. Appl. 3, 159–160 (1969; Zbl 0189.40602); A. Melin and J. Sjöstrand, Commun. Partial Differ. Equations 1, 313–400 (1976; Zbl 0364.35049); P. Guan and E. Sawyer, Ann. Math. (2) 137, No. 1, 1–70 (1993; Zbl 0792.35039)].

MSC:

35S30 Fourier integral operators applied to PDEs
35B45 A priori estimates in context of PDEs