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In this book, Vladimir Maz'ya describes the first thirty years of his life. He describes his formative years in the Soviet Union, the awakening of his passion for mathematics and his early achievements, presenting, in the process, a vivid picture of the time.
This trail-blazing treatment of a new and emerging topic sets out the authors' own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.
This book is a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. Three chapters cover harmonic potentials, and the final chapter treats elastic potentials.
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