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Book Review: Global classical solutions for nonlinear evolution equations

1993
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Bulletin of the American Mathematical Society
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Most dynamical problems in physics are governed by evolution equations. Evolution equations are partial differential equations whose solutions one studies as functions of a distinguished independent variable t, called time. Examples are heat flow or diffusion governed by parabolic equations, vibration or electromagnetism governed by hyperbolic equations, and quantum mechanics governed by Schrödinger equations. These are the three types of equations studied in this book. Of course, there are

doi:10.1090/s0273-0979-1993-00415-4
fatcat:l6brapwlnzcbtbfhjjcoqfjjbq