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From heat equations to wave equations: More on transmutation operators - MaRDI portal

From heat equations to wave equations: More on transmutation operators (Q1197063)

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scientific article; zbMATH DE number 90964
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From heat equations to wave equations: More on transmutation operators
scientific article; zbMATH DE number 90964

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    From heat equations to wave equations: More on transmutation operators (English)
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    16 January 1993
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    In transforming hyperbolic boundary value problems into parabolic ones, in the linear case, the integral operator \(F^*(t)=2^{-1}(\pi t^ 3)^{-1/2} \int_ 0^ \infty ue^{-u^ 2/4t} F(u)du\) plays an important role. The authors find an expression for the inverse operator.
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    inverse transform
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