This monograph in the inverse and ill posed problems series studies three essentially ill posed internally boundary value problems for the biharmonic equation and the cauchy problem for the read more. J inv ill posed problems16 2008 317 357 doi 101515 jiip2008069 definitions and examples of inverse and ill posed problems s i kabanikhin survey paper abstract the terms inverse problems and ill posed problems have been steadily and surely gaining popularity in modern science since the middle of the 20th century. Other problems that lead to ill posed problems in the sense described above are the dirichlet problem for the wave equation the non characteristic cauchy problem for the heat equation the initial boundary value problem for the backwardheat equation inverse scattering problems identification of parameters coefficients in partial . The inverse and ill posed problems series is a series of monographs publishing postgraduate level information on inverse and ill posed problems for an international readership of professional scientists and researchers atakhodzhaev mukarram a ill posed internal boundary value problems for the biharmonic equation 2014 vol 34 romanov . This monograph studies three essentially ill posed internal boundary value problems for the biharmonic equation and the cauchy problem for the abstract biharmonic equation both qualitatively and quantitatively in addition some variants of these problems and the cauchy problem as well as the m dimensional case are considered
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