Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: A(t)-caloric approximation method

Author:

Arkhipova Arina A.

Funder

Russian Foundation for Basic Research

grant SPbGU

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference25 articles.

1. Apushkinskaya, D.E., Nazarov, A.I.: A survey of results on nonlinear venttsel problems. Appl. Math. 45(1), 69–80 (2000)

2. Arkhipova, A.A., Lukina, A.A.: Estimates for solutions to the model Venttsel problem in Campanato spaces. [in Russian], Probl. Mat. Anal. 70, 47–56 (2013); English transl.: J. Math. Sci., New York, 191(2), 150–161 (2013)

3. Arkhipova, A.A., Lukina, A.A.: Regularity of weak solutions to the model Venttsel problem for linear divergence elliptic operators in Campanato spaces [in Russian]. Probl. Mat. Anal. 72, (2013), 39–50; English transl.: J. Math. Sci., New York, 195(5), (2013) 609–621

4. Arkhipova, A.A.: Partial regularity of solutions to the model Venttsel problem for quasilinear elliptic systems with quadratic nonlinearity in the gradient. [in Russian], Probl. Mat. Anal., 82, (2015), 15–30; English transl.: J. Math. Sci., New York, 210(5), (2015), 571–589

5. Arkhipova, A.A.: Partial regularity of weak solutions to the model Venttsel problem for quasilinear elliptic systems of equations.  [in Russian], Probl. Mat. Anal., 75, (2014), 3–20; English trans.: J. Math. Sci., New York 198(6), (2014), 655–676

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