The study of Cauchy problems for degenerating equations and systems
is a wide and actively developing area. However, the majority deals
mainly with Cauchy problems for hyperbolic equations and systems
and characteristic Cauchy problems for parabolic equations and
systems.
This volume in the "Inverse and Ill-Posed Problems Series presents
the results that were obtained on uniqueness for the main
(ill-posed in the regular case) Cauchy problems for equations of
the second order with exponential degeneracy. The Cauchy problem
for a degenerating elliptic equation, the noncharacteristic Cauchy
problem, and the mixed problem with reversed time for a
degenerating parabolic equation are considered. Stability estimates
that guarantee conditional well-posedness of the considered Cauchy
problems in terms of the inverse problems theory are given, along
with uniqueness theorems.
General
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