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Hans Lewy Selecta - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 2002)
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Hans Lewy Selecta - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Contemporary Mathematicians
Expected to ship within 10 - 15 working days
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The work of Hans Lewy (1904-1988) has had a profound influence in
the direc tion of applied mathematics and partial differential
equations, in particular, from the late 1920s. We are all familiar
with two of the particulars. The Courant-Friedrichs Lewy condition
(1928), or CFL condition, was devised to obtain existence and ap
proximation results. This condition, relating the time and spatial
discretizations for finite difference schemes, is now universally
employed in the simulation of solutions of equations describing
propagation phenomena. His example of a linear equation with no
solution (1957), with its attendant consequence that most equations
have no solution, was not merely an unexpected fact, but changed
the viewpoint of the entire field. Lewy made pivotal contributions
in many other areas, for example, the regu larity theory of
elliptic equations and systems, the Monge-Ampere Equation, the
Minkowski Problem, the asymptotic analysis of boundary value
problems, and sev eral complex variables. He was among the first to
study variational inequalities. In much of his work, his underlying
philosophy was that simple tools of function theory could help us
understand the essential concepts embedded in an issue, although at
a cost in generality. This was extremely successful."
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