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Contributions to nonlinear partial differential equations : [proceedings of an international meeting held in Madrid on Dec. 14-17, 1981]
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ISBN: 0273085956 Year: 1983 Volume: 89 Publisher: Boston London Melbourne : Pitman,

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Theory of nonlinear operators
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Year: 1974 Publisher: Berlin : Akademie Verlag,

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Theory of nonlinear operators : constructive aspects : proceedings of an international summer school held at Berlin, GDR, from September 22 to 26, 1975
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Year: 1977 Publisher: Berlin (DDR) : Akademie der Wissenschaften der DDR,

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Nonlinear superposition operators
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ISBN: 0521361028 Year: 1990 Volume: 95 Publisher: Cambridge : Cambridge University Press,

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Semigroups, theory and applications
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ISBN: 0582994527 0470203722 0582994543 Year: 1986 Volume: 141, 152 Publisher: Burnt Mill

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Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
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ISSN: 14397382 ISBN: 9783540775324 9783540775331 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Ulrich Kohlenbach presents an applied form of proof theory that has led in recent years to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others). This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results such as independence of solutions from certain parameters, generalizations of proofs by elimination of premises. The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.


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Eigenfunction branches of nonlinear operators and their bifurcations
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Year: 1969 Publisher: Berlin : Springer-Verlag,

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Nonlinear integral operators and applications
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ISSN: 0941813X ISBN: 1282194747 9786612194740 3110199270 3110175517 9783110175516 9783110199277 Year: 2003 Volume: 9 Publisher: Berlin ; New York : Walter de Gruyter,

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In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book rep

Mathematical aspects of nonlinear dispersive equations
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ISBN: 9780691128603 069112860X 069112955X 9786612129605 1282129600 1400827795 9780691129556 9781400827794 9781282129603 6612129603 Year: 2007 Volume: 163 Publisher: Princeton : Princeton University Press,

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This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.


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Topics in critical point theory
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ISBN: 9781107029668 9781139342469 9781139845243 1139845241 9781139840514 1139840517 9781139842884 1139842889 1139342460 110702966X 9781283836340 1283836343 1107237343 1139854321 1139846108 1139841696 Year: 2013 Volume: 198 Publisher: Cambridge : Cambridge University Press,

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"This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"--

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