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Singular Partial Differential Equations
  • Language: en
  • Pages: 220

Singular Partial Differential Equations

  • Type: Book
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  • Published: 1999-11-29
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  • Publisher: CRC Press

Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.

Partial Differential and Integral Equations
  • Language: en
  • Pages: 367

Partial Differential and Integral Equations

This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Rieman...

Analysis and Topology
  • Language: en
  • Pages: 744

Analysis and Topology

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.

Degenerate and Other Problems
  • Language: en
  • Pages: 328

Degenerate and Other Problems

  • Type: Book
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  • Published: 2020-10-07
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  • Publisher: CRC Press

This Monograph contains a collection of problems arising in partial differential equations investigated by means of complex analysis approached in elementary ways.

Topics in Analysis and its Applications
  • Language: en
  • Pages: 468

Topics in Analysis and its Applications

Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

New Trends in Analysis and Interdisciplinary Applications
  • Language: en
  • Pages: 615

New Trends in Analysis and Interdisciplinary Applications

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Mathematical Reviews
  • Language: en
  • Pages: 784

Mathematical Reviews

  • Type: Book
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  • Published: 2006
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  • Publisher: Unknown

None

Systems of Equations of Composite Type
  • Language: en
  • Pages: 360

Systems of Equations of Composite Type

None

American Book Publishing Record
  • Language: en
  • Pages: 1886

American Book Publishing Record

  • Type: Book
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  • Published: 2000
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  • Publisher: Unknown

None

Methods of Singular Integral Equations
  • Language: en
  • Pages: 336

Methods of Singular Integral Equations

Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.