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This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: No

Differential equations --- Evolution equations --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- 517.91 Differential equations

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Evolution equations. --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations

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This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrödinger and Korteweg-de Vries equations. The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions p

Evolution equations. --- Variables (Mathematics) --- Mathematical constants --- Mathematics --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations

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Evolution equations. --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations

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Evolution equations. --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations