World Scientific Pub, 1990. - 152 Pages.
This series of lecture notes includes various parts of the theory of mixed type partial differential equations with boundary conditions such as: the classical dynamical equation of mixed type due to S. A. Chaplygin (1904), regularity of solutions in the sense of the first pioneer in the field F. G. Tricomi (1923) and in brief his fundamental idea leading to one-dimensional singular integral equations, the characteristic problem due to F. I. Frankl (1945), the mixed type equation due to A. V. Bitsadze and M. A. Lavrentjev (1950), the classical a, b, c, energy integral method for mixed type boundary value problems and quasi-regularity of solutions in the sense of M. H. Protter (1953), weak (or strong) solutions in the classical sense, well-posedness in the sense that there is at most one quasi-regular solution and a weak solution exists, a selection of new results, and open problems.
This series of lecture notes includes various parts of the theory of mixed type partial differential equations with boundary conditions such as: the classical dynamical equation of mixed type due to S. A. Chaplygin (1904), regularity of solutions in the sense of the first pioneer in the field F. G. Tricomi (1923) and in brief his fundamental idea leading to one-dimensional singular integral equations, the characteristic problem due to F. I. Frankl (1945), the mixed type equation due to A. V. Bitsadze and M. A. Lavrentjev (1950), the classical a, b, c, energy integral method for mixed type boundary value problems and quasi-regularity of solutions in the sense of M. H. Protter (1953), weak (or strong) solutions in the classical sense, well-posedness in the sense that there is at most one quasi-regular solution and a weak solution exists, a selection of new results, and open problems.