57 citations · 475 across the 30 of their papers we have counts for
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math.AP2017★ 13 cited
De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations
Lorenzo Tentarelli, Paolo Tilli
In this paper we discuss an extension of some results obtained by E. Serra and P. Tilli, in [Serra&Tilli '12, Serra&Tilli '16], concerning an original conjecture by E. De Giorgi ([…
math-ph2017★ 16 cited
Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity
Raffaele Carlone, Michele Correggi, Lorenzo Tentarelli
We consider a two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence…