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math.AP2021
On a general variational framework for existence and uniqueness in Differential Equations
Pablo Pedregal
Starting from the classic contraction mapping principle, we establish a general, flexible, variational setting that turns out to be applicable to many situations of existence in Di…
math.AP2020
On non-locality in the Calculus of Variations
Pablo Pedregal
Non-locality is being intensively studied in various PDE-contexts and in variational problems. The numerical approximation also looks challenging, as well as the application of the…
math.AP2018
Young-measure solutions for multidimensional systems of conservation laws
Pablo Pedregal
We explore Young measure solutions of systems of conservation laws through an alternative variational method that introduces a suitable, non-negative error functional to measure de…