TAILIEUCHUNG - One-Parameter Semigroups for Linear Evolution Equations

The theory of one-parameter semigroups of linear operators on Banach spaces started in the first half of this century, acquired its core in 1948 with the Hille–Yosida generation theorem, and attained its first apex with the 1957 edition of Semigroups and Functional Analysis by E. Hille and . Phillips. In the 1970s and 80s, thanks to the efforts of many different schools, the theory reached a certain state of perfection, which is well represented in the monographs by . Davies [Dav80], . Goldstein [Gol85], A. Pazy [Paz83], and others. Today, the situation is characterized by manifold applications of this theory not only to the traditional areas such as partial. | One-Parameter Semigroups for Linear Evolution Equations Klaus-Jochen Engel Rainer Nagel Springer Graduate Texts in Mathematics 194 Editorial Board s. Axler . Gehring . Ribet Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Graduate Texts in Mathematics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Takeuti Zaring. Introduction to Axiomatic Set Theory. 2nd ed. Oxtoby. Measure and Category. 2nd ed. Schaefer. Topological Vector Spaces. 2nd ed. Hilton Stammbach. a Course in Homological Algebra. 2nd ed. Mac Lane. Categories for the Working Mathematician. 2nd ed. Hughes Piper. Projective Planes. Serre. a Course in Arithmetic. Takeuti Zaring. Axiomatic Set Theory. Humphreys. Introduction to Lie Algebras and Representation Theory. Cohen a Course in Simple Homotopy Theory. Conway. Functions of One Complex Variable I. 2nd ed. Beals. Advanced Mathematical Analysis. Anderson Fuller. Rings and Categories of Modules. 2nd ed. Golubitsky Guillemin. Stable Mappings and Their Singularities. Berberian. Lectures in Functional Analysis and Operator Theory. Winter. The Structure of Fields. Rosenblatt. Random Processes. 2nd ed. Halmos. Measure Theory. Halmos. a Hilbert Space Problem Book. 2nd ed. Husemoller. Fibre Bundles. 3rd ed. Humphreys. Linear Algebraic Groups. Barnes Mack. An Algebraic Introduction to Mathematical Logic. Greub. Linear Algebra. 4th ed. Holmes. Geometric Functional Analysis and Its Applications. Hewitt Stromberg. Real and Abstract Analysis. Manes. Algebraic Theories. Kelley. General Topology. Zariski Samuel. Commutative Algebra. . Zariski Samuel. Commutative Algebra. . Jacobson. Lectures in Abstract Algebra I. Basic Concepts. Jacobson. Lectures in Abstract Algebra II. Linear Algebra. Jacobson. Lectures in Abstract Algebra III. Theory of Fields and Galois Theory. 33 Hirsch. Differential Topology. 34 Spitzer. Principles of Random Walk. 2nd ed. 35 Alexander Wermer. Several

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