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Morrey-Lorentz estimates for Hodge-Maxwell systems
Banhirup Sengupta (Indian Institute of Science)
Dia: 03/07/2025
Hora: 15:00
Lloc: CRM

Resum: We will discuss about the boundary regularity in Morrey-Lorentz spaces for weak solutions to the following linear system of differential forms with regular anisotropic coefficients
$$
d^{\ast}\left(A d\omega\right) + B^{T}dd^{\ast}\left(B\omega\right) =\lambda B\omega + f \text{ in } \Omega,
$$
with either $\nu \wedge \omega$ and $\nu \wedge d^{\ast}\left(B\omega\right)$ or $\nu\lrcorner B\omega$ and $\nu\lrcorner \left(A d\omega\right)$ prescribed on $\partial\Omega$. Applications to Hodge decomposition in Morrey-Lorentz spaces, Gaffney-type inequalities, and estimates for related systems such as Hodge-Maxwell and 'div-curl' systems will be discussed.\\
This talk is based on a joint work with S.Sil.