On a regularity of biharmonic approximations to a nonlinear degenerate elliptic PDE | Zendy

Andrej Novák | Zendy; Jela Šušić | Zendy

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On a regularity of biharmonic approximations to a nonlinear degenerate elliptic PDE

Author(s) -

Andrej Novák,

Jela Šušić

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707835n

Subject(s) - biharmonic equation , mathematics , degenerate energy levels , chebyshev filter , nonlinear system , mathematical analysis , regularization (linguistics) , generalization , boundary value problem , physics , quantum mechanics , artificial intelligence , computer science

Under appropriate assumption on the coefficients, we prove that a sequence of biharmonic regularization to a nonlinear degenerate elliptic equation with possibly rough coefficients preserves certain regularity as the approximation parameter tends to zero. In order to obtain the result, we introduce a generalization of the Chebyshev inequality. We also present numerical example.

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