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Project NEW addresses challenges in nonlinear elliptic and parabolic equations, providing solutions to fundamental questions in the field. It combines various analytical techniques to enhance understanding and applications in fluid mechanics and geometric analysis.
Project NEW tackles key challenges in nonlinear elliptic and parabolic regularity theory.
The outcome answers to fundamental open questions.
Achievements include sharp analysis data-solutions in nonuniformly elliptic or parabolic PDEs, singular set estimates in vectorial problems, and maximal regularity in degenerate (possibly nonlocal) monotone operators lacking strong monotonicity properties.
These results are supported by innovative hybrid techniques, combining deep insights from harmonic ana…
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