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Author

Cheng Yuan

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Preprint Aug 2026

On Cauchy Problems for Parabolic Equations with Rough Coefficients

The presented work investigates the Cauchy problems for parabolic equations in both non-divergence and divergence forms with rough diffusion coefficients, which commonly arise in composite media, financial pricing, and viscous fluids. Under critical regularity settings, we establish the unique solvability in optimal fr...

Cheng Yuan · 0 citations
Preprint Aug 2026

On Cauchy Problems for Parabolic Equations with Rough Coefficients

The presented work investigates the Cauchy problems for parabolic equations in both non-divergence and divergence forms with rough diffusion coefficients, which commonly arise in composite media, financial pricing, and viscous fluids. Under critical regularity settings, we establish the unique solvability in optimal fr...

Cheng Yuan · 0 citations

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