Editing Openai/6935580c-34e4-8001-9136-7bbdf1499790 (section)

==== - L. C. Evans, Partial Differential Equations, 2nd ed., Graduate Studies in Mathematics, AMS — heat kernel facts, semigroup basics. ====
* A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer — abstract semigroup theory and strong continuity.
* H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer — Sobolev embeddings and algebra properties.
* P. G. Lemarié-Rieusset, Recent developments in the Navier–Stokes problem, CRC Press — comprehensive Navier–Stokes functional analysis.
* P. Constantin and C. Foias, Navier–Stokes Equations, University of Chicago Press — classical functional setting, Leray projector, semigroup methods.
* E. M. Stein, Singular Integrals and Differentiability Properties of Functions — Calderón–Zygmund theorems and Riesz transforms.
* L. Grafakos, Classical Fourier Analysis — Mikhlin multipliers and detailed proofs for Fourier multipliers on LpL^pLp and Sobolev scales.
* H. Bahouri, J.-Y. Chemin, R. Danchin, Fourier Analysis and Nonlinear Partial Differential Equations — for Besov and paraproduct approaches.