Failure of Fredholm solvability for the Dirichlet problem corresponding to weakly elliptic systems

Author:

Mitrea Dorina,Mitrea Irina,Mitrea MariusORCID

Funder

Simons Foundation

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Reference9 articles.

1. Bitsadze, A.V.: Ob edinstvennosti resheniya zadachi Dirichlet dlya ellipticheskikh uravnenii s chastnymi proizvodnymi. Uspekhi Matem. Nauk 3(6), 211–212 (1948)

2. Bitsadze, A.V.: Boundary Value Problems for Second-Order Elliptic Equations. North-Holland, Amsterdam (1968)

3. Calderón, A.P.: On the behavior of harmonic functions near the boundary. Trans. Am. Math. Soc. 68, 47–54 (1950)

4. Marín, J.J., María Martell, J., Mitrea, D., Mitrea, I., Mitrea, M.: Singular Integrals, Quantitative Flatness, and Boundary Problems, Book Manuscript (2020)

5. Martell, J.M., Mitrea, D., Mitrea, I., Mitrea, M.: The Dirichlet problem for elliptic systems with data in Köthe function spaces. Rev. Mat. Iberoam. 32(3), 913–970 (2016)

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