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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… Click to show full abstract
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.
Keywords:
approximations nonlinear;
degenerate elliptic;
biharmonic approximations;
nonlinear degenerate;
regularity biharmonic
Journal Title: Filomat
Year Published: 2017
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Journal Title: Filomat
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!