On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order parabolic equations (35K15) Harmonic analysis and PDEs (42B37)

Cites Work

Weights, extrapolation and the theory of Rubio de Francia.
Hardy spaces of differential forms on Riemannian manifolds
Some new function spaces and their applications to harmonic analysis.
A vector-valued approach to tent spaces
Interpolation and embeddings of weighted tent spaces
Representation and uniqueness for boundary value elliptic problems via first order systems
Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
Singular integral operators on tent spaces
The maximal regularity operator on tent spaces
Tent space well-posedness for parabolic Cauchy problems with rough coefficients
Stochastic maximal regularity for rough time-dependent problems
Change of angle in tent spaces
Conical stochastic maximal \(L^p\)-regularity for \(1\leqslant p<\infty\)
Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
Analysis in Banach Spaces
Vertical versus conical square functions
Remarks on Maximal Regularity
On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
ON THE WELL-POSEDNESS OF PARABOLIC EQUATIONS OF NAVIER–STOKES TYPE WITH DATA
Well-posedness for the Navier-Stokes equations
Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
Stochastic and deterministic parabolic equations with bounded measurable coefficients in space and time: well-posedness and maximal regularity

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