Boundary Value Problems

By Carlo Cercignani. 2006

371 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Integral equations and applications (2015, background): “A detailed theory can be found in [3] and [10].”
Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability (2015, methodology): “1=k/; k !1: The solution of this scalar Riemann-Hilbert problem is obtained in explicit form via the Plemelj formulae [43] as”
The Schwarz Problem for Polyanalytic Functions (2005, neutral): “Schwarz [12] has solved this particular problem long before the general Riemann-Hilbert problem was successfully treated [1, 9, 10, 13].”
Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains (2005, background): “[24]): given a function u0(z) on the boundary, to find a harmonic function u(z) in Dc such that it is continuous up to the boundary and equals u0(z) + Cα on the α’s boundary component.”