Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed. Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.
Themistocles M. Rassias
linear and non-linear analysis operator theory partial differential equations functional analysis non-linear evolution equations Korteweg-de Vries equation Navier-Stokes equation Tosio Kato Stochastic Independence Kato’s Inequality Kato’s Unpublished Paper Friedmann Equation Magnetic Schrodinger Operator Complex Electric Potential Howland - Kato Commutator Problem
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