Necessary and Sufficient Conditions for the Solvability of the Neumann and the Regularity Problems in L p of Some Schrödinger Equations on Lipschitz Domains

Author:

Yang Sibei

Funder

the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference34 articles.

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2. Auscher, P., Ben Ali, B.: Maximal inequalities and Riesz transform estimates on L p spaces for Schrödinger operators with nonnegative potentials. Ann. Inst. Fourier (Grenoble) 57, 1975–2013 (2007)

3. Auscher, P., Martell, J.: Weighted norm inequalities, off-diagonal estimates and elliptic operators. I. General operator theory and weights. Adv. Math. 212, 225–276 (2007)

4. Barton, A., Mayboroda, S.: Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces. Mem. Amer. Math. Soc. 243 (1149), vi + 110 (2016)

5. Caffarelli, L., Peral, I.: On W 1,p estimates for elliptic equations in divergence form. Comm. Pure Appl. Math. 51, 1–21 (1998)

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1. Lp Neumann problem for some Schrödinger equations in (semi-)convex domains;Communications in Contemporary Mathematics;2019-02-11

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