5 papers · 1 filter
An optimal trace estimate for microlocal square functions on quadratic surfaces
Vicente Vergara
We study a local trace estimate for the microlocal angular square function \[ G_R f := \left(\sum_Θ|f_Θ|^2\right)^{1/2} \] associated with a parabolic decomposition of the frequenc…
-variational capacity of interior condensers and geometric reduction by a fixed phase
Vicente Vergara
We study the -variational capacity of interior condensers in a bounded open set when both plates are determined by a single phase in $W^{…
Dyadic microlocal partitions for position-dependent fiber metrics and Weyl quantization
Vicente Vergara
We construct a dyadic microlocal partition adapted to a position-dependent fiber metric on phase space and quantify its interaction with Weyl quantization. Under uniform ellipticit…
A non-Gaussian Hardy-type Equation in Fractional Time
Soveny Solís, Vicente Vergara
A non-Gaussian Hardy equation is studied with a non-linearity of Osgood-type growth. A fractional derivative in time is incorporated for the first time in an research of this type.…
Non-existence of solutions for a non-Gaussian equation in fractional time with Osgood type nonlinearity
Soveny Solís, Vicente Vergara
Osgood functions in the source term are used to produce results for non-existence of local solutions into the framework of non-Gaussian diffusion equations. The critical exponent f…