3 citations · 3 across the 5 of their papers we have counts for
9 papers
Blow-up at finite time for the generalized SQG equations in the Sobolev well-posedness regime
Diego Córdoba, Óscar Domínguez, José Lucas-Manchón +1
We prove finite-time singularity formation for the forced generalized surface quasi-geostrophic equation in the singular velocity regime , where corresponds to SQG…
A sparse resolution of the DiPerna-Majda gap problem for D Euler equations
Oscar Domínguez, Daniel Spector
A central question which originates in the celebrated work in the 1980's of DiPerna and Majda asks what is the optimal decay such that uniform rates of…
A sharp stability criterion for Euler equations via sparseness
Óscar Domínguez, Mario Milman
We introduce sparse versions of function spaces that are relevant to characterize the solutions of Euler equations without concentration. The standard Sobolev space is giv…
Truncated smooth function spaces
Oscar Domínguez, Sergey Tikhonov
We introduce truncated Besov and Triebel--Lizorkin function spaces and investigate their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allo…
Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation
Oscar Domínguez, Mario Milman
The real interpolation spaces between and (resp. ), are characterized in terms of fra…
New estimates for the maximal functions and applications
Oscar Domínguez, Sergey Tikhonov
In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant o…