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Abstract theorems of existence, uniqueness and regularity of the solution are proved for a differential equation whose solution takes its values in a sequence of Banach spaces called a Banach scale. The abstract theorems are then applied to obtain existence, uniqueness and regul…
Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundati…
