Axler, S. Harmonic Function Theory. Springer-Verlag, Benedetto, J. Harmonic Analysis and Applications. Cohn, H. Conformal Mapping on Riemann Surfaces. New York: Dover, Krantz, S. Weisstein, E. Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and ….
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Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their …. Various transforms have been widely used in diverse applications of science, engineering and technology.
New transforms are …. An Introduction to Wavelet Analysis provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases. The book develops the basic theory of wavelet bases and transforms …. During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Recently there has been intense research activity on the subject of wavelet and subband theory. Experts in diverse fields such as mathematics, physics, electrical engineering, and image processing have provided original and pioneering works and ….
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Alexander Gladkov. Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Boundary blow-up solutions with interior layers and spikes in a bistable problem. Yihong Du , Zongming Guo. The degenerate logistic model and a singularly mixed boundary blow-up problem. Lingyu Jin , Yan Li.
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A Hopf's lemma and the boundary regularity for the fractional p-Laplacian. Binhua Feng. Van Duong Dinh. Petri Juutinen.
Convexity of solutions to boundary blow-up problems. Wave extension problem for the fractional Laplacian. On the Benilov-Vynnycky blow-up problem. Victor A.
Harmonic Analysis and Discrete Potential Theory
The problem Of blow-up in nonlinear parabolic equations. Lizhi Zhang. Symmetry of solutions to semilinear equations involving the fractional laplacian. Evans function and blow-up methods in critical eigenvalue problems.
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Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential. Mohamed-Ali Hamza , Hatem Zaag. Blow-up results for semilinear wave equations in the superconformal case. Blow-up and asymptotic behavior of solutions to a semilinear integrodifferential system. Li Ma. Blow-up for semilinear parabolic equations with critical Sobolev exponent. Van Tien Nguyen.
On the blow-up results for a class of strongly perturbed semilinear heat equations. Zhijun Zhang , Ling Mi. Blow-up rates of large solutions for semilinear elliptic equations.
American Institute of Mathematical Sciences. Previous Article Harmonic functions in union of chambers. We present a notion of weak solution for the Dirichlet problem driven by the fractional Laplacian, following the Stampacchia theory. Citation: Nicola Abatangelo. References:  S.
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