Regularity Theory for Elliptic PDE
Xavier Fernández‐Real, Xavier Ros‐Oton
Abstract
This manuscript aims to provide a self-contained introduction to the regularity theory for elliptic PDE, focusing on the main ideas rather than proving all results in their greatest generality. It can be seen as a bridge between an elementary PDE course and more advanced textbooks. This is a draft of the book "Regularity Theory for Elliptic PDE". The final version has been published in Zurich Lectures in Advanced Mathematics, EMS Press, 2022.
Topics & Concepts
GeneralityBridge (graph theory)MathematicsCalculus (dental)Elliptic curveAlgebra over a fieldMathematical economicsPure mathematicsComputer scienceApplied mathematicsManagementEconomicsMedicineDentistryInternal medicineNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Harmonic Analysis Research