Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems

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Abstract

We consider nondiagonal elliptic and parabolic systems of equations with strongly nonlinear terms in the gradient. We review and comment known solvability and regularity results and describe the last author’s results in this field.

About the authors

A. A. Arkhipova

St. Petersburg State University

Author for correspondence.
Email: arinaark@gmail.com
St. Petersburg, Russia

References

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