Chiara Gallarati

activity

20142017

most citedEvolution families and maximal regularity for systems of parabolic equations

14 citations · 15 across the 3 of their papers we have counts for

collaborators

5 papers

math.AP2017

Higher-order parabolic equations with VMO assumptions and general boundary conditions with variable leading coefficients

Hongjie Dong, Chiara Gallarati

We prove weighted mixed $L_{p} (L_{q})$ -estimates, with $p, q \in (1, \infty)$ , for higher-order elliptic and parabolic equations on the half space $R_{+}^{d + 1}$ and on domains…

math.AP2017★ 1 cited

Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions

Hongjie Dong, Chiara Gallarati

We prove mixed $L_{p} (L_{q})$ -estimates, with $p, q \in (1, \infty)$ , for higher-order elliptic and parabolic equations on the half space $R_{+}^{d + 1}$ with general boundary condition…

math.AP2015★ 14 cited

Evolution families and maximal regularity for systems of parabolic equations

Chiara Gallarati, Mark Veraar

In this paper we prove maximal $L^{p}$ -regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are co…

math.CA2014

On the $ℓ^{s}$ -boundedness of a family of integral operators

Chiara Gallarati, Emiel Lorist, Mark Veraar

In this paper we prove an $ℓ^{s}$ -boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubi…

math.FA2014

Maximal regularity for non-autonomous equations with measurable dependence on time