World Scientific Publishing Company Semigroup Approach To Nonlinear Diffusion Equations

Product Description This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type. In particular, applications to the existence theory of nonlinear parabolic equations, nonlinear Fokker-Planck equations, phase transition and free boundary problems are presented in details. Emphasis is put on functional methods in partial differential equations (PDE) and less on specific results. About the Author <p><strong>Viorel Barbu</strong>, Professor with Al I Cuza University, Romania, and member of Romanian Academy and of European Academy of Science. He is the author of 10 books and monographs including the following: <em>Nonlinear Semigroups and Differential Equations in Banach Spaces</em> (Noordhoff, Leyden, 1976), <em>Optimal Control of Variational Inequalities</em> (Pitman & Longman, London, 1984), <em>Nonlinear Differential Equations of Monotone Type in Banach Spaces</em> (Springer, London. New York, 2010), <em>Stabilization of Navier-Stokes Flows</em> (Springer, London, 2011).</p>