3 papers
math.NA2026
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
Alexandre Francisco, Umberto Biccari, Enrique Zuazua
Inverse design of transport equations can be addressed by using a gradient-adjoint methodology. In this methodology numerical schemes used for the adjoint resolution determine the…
math.AP2026
Blow-up results for a logarithmic pseudo-parabolic -Laplacian type equation
Belhaoues Razik, Umberto Biccari, Abita Rahmoune
In this paper, we consider an initial-boundary value problem for the following mixed pseudo-parabolic -Laplacian type equation with logarithmic nonlinearity: $$ u_t-Îu_t-\mb…
math.AP2025
Boundary observation and control for fractional heat and wave equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We establish boundary observability and control for the fractional heat equation over arbitrary time horizons , within the optimal range of fractional exponents $s \in (1/2,…