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Partial differential equations and operators Fundamental solutions and semigroups Part II

Partial differential equations and operators Fundamental solutions and semigroups Part II

In this book, which is basically self-contained, we concentrate on partial differential equations in mathematical physics and on operator semigroups with their generators. A central theme is a thorough treatment of distribution theory. This is done via convolution products, Fourier transforms, and fundamental solutions of partial differential operators with constant coefficients. Linear initial value problems are treated via operator semigroups....

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