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Integrable Singular Integral Evolution Equations

1993
Integro-differential evolution equations (IDEE’s) appear in several areas of applied Science. For instance, in a fluid dynamical context, equation $$\begin{array}{*{20}{c}} {{{u}_{t}} + au{{u}_{x}} + \int\limits_{{ - \infty }}^{\infty } {dx\prime K(x - x\prime ){{u}_{{x\prime }}}(x\prime ,t) = 0,} } & {K(x): = \int\limits_{{ - \infty }}^{\infty } {\
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Nonlinear Singular Integral Equations

2011
Abel’s integral equation, linear or nonlinear, occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Linear Abel’s integral equation is the earliest example of an integral equation.
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An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy   +2 more
exaly  

Singular Boundary Integral Equations

2013
In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions in the classical Holder space setting. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on
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Multidimensional Singular Integral Equations

2000
The multidimensional singular integral equations are applied in many fields of engineering mechanics, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity and fracture mechanics theory. F. G. Tricomi [1], [2] has written the first important work on multidimensional singular integrals and investigated double singular ...
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Fundamentals and developments in fluorescence-guided cancer surgery

Nature Reviews Clinical Oncology, 2021
Friso Achterberg   +2 more
exaly  

Planning for tomorrow: global cancer incidence and the role of prevention 2020–2070

Nature Reviews Clinical Oncology, 2021
Isabelle Soerjomataram, Frank Bray
exaly  

Singular Integral Equations

Proceedings of the London Mathematical Society, 1940
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The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
exaly  

Antibiofilm activity of host defence peptides: complexity provides opportunities

Nature Reviews Microbiology, 2021
, Morgan A Alford, Evan F Haney
exaly  

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