Hans Lewy Selecta -

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Résumé :
The work of Hans Lewy (1904--1988) has touched nearly every significant area of functional analysis and has had a profound influence in the direction of applied mathematics and partial differential equations from the late 1920s. Famous for his originality and ingenuity, Lewy illustrated and revealed fundamental principles on the theory of partial differential equations, in particular, on elliptic equations and free boundary problems. The papers presented in this two-volume set represent a selection of his best work and are augmented by commentary from his students, colleagues, and family....

Sommaire:
to Volume 1.- [1] ?ber einen Ansatz zur numerischen L?sung von Randwertproblemen.- [3] ?ber den analytischen Charakter der L?sungen elliptischer Differentialgleichungen..- [4] ?ber die Methode der Differenzengleichungen zur L?sung von Variations- und Randwertproblemen.- [5] ?ber das Anfangswertproblem bei einer hyperbolischen nichtlinearen partiellen Differentialgleichung zweiter Ordnung mit zwei unabh?ngigen Ver?nderlichen.- [6] ?ber die Eindeutigkeit und das Abh?ngigkeitsgebiet der L?sungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen.- [7] On the Partial Difference Equations of Mathematical Physics.- [8] Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen: Existenz, Eindeutigkeit und Abh?ngigkeitsbereich der L?sung.- [9] Neuer Beweis des analytischen Charakters der L?sungen elliptischer Differentialgleichungen.- [10] Sulla unicit? della soluzione del problema di Cauchy per un'equaztione ellitica del secondo ordine in due variabili.- [11] Eindeutigkeit der L?sung des Anfangsproblems einer elliptischen Differentialgleichungen zweiter Ordnung in zwei Ver?nderlichen.- [12] ?ber fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Ver?nderlichen.- [13] On convergence in length.- [14] A priori limitations for solutions of Monge-Amp?re equations.- [15] Generalized integrals and differential equations.- [16] On the non-vanishing of the Jacobian in certain one-to-one mappings.- [17] A priori limitations for solutions of Monge-Amp?re equations, II.- [18] On the existence of a closed convex surface realizing a given Riemannian metric.- [19] On differential geometry in the large, I (Minkowski's Problem).- [20] Generalizedintegrals and differential equations.- [21] A property of spherical harmonics.- [23] Water waves on sloping beaches.- [24] The dock problem.- [25] On the convergence of solutions of difference equations, Studies and Essays.- [26] Developments at the confluence of analytic boundary conditions.- [27] Developments at the confluence of analytic boundary conditions.- [28] On minimal surfaces with partially free boundary.- [29] On the boundary behavior of minimal surfaces.