Harmonic Analysis for PDEs
- Besov Spaces & Littlewood–Paley TheoryPlanned
- Bernstein Inequalities and Dyadic EstimatesPlanned
- Bony Decomposition, Product and Commutator EstimatesPlanned
- Transport Equations in Besov SpacesPlanned
Research Notes
Expository notes on tools for PDEs, fluids, and control.
This section collects short working notes on analytical techniques that recur in my research and teaching. These notes are informal expository material and are not peer-reviewed publications.
Control Theory
- Carleman Estimates & ObservabilityPlanned
- Hilbert Uniqueness MethodPlanned
- Moment Methods and Ingham InequalitiesPlanned
- Stabilization of Evolution EquationsPlanned
Functional Analysis & Evolution Equations
- Semigroups of Linear OperatorsPlanned
- Sectorial Operators and Maximal RegularityPlanned
- Non-autonomous Evolution FamiliesPlanned
- Time-Periodic Evolution ProblemsPlanned
Fluid Mechanics
- Compressible Navier–Stokes: Basic Energy StructurePlanned
- Weak Formulations and Renormalized Continuity EquationsPlanned
- Time-Periodic Solutions in Fluid ModelsPlanned
- Energy and Entropy Methods in Fluid–Structure InteractionPlanned