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Integrable Singular Integral Evolution Equations
1993Integro-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
2011Abel’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, 2022Lynne Penberthy +2 more
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Singular Boundary Integral Equations
2013In 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
2000The 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, 2021Friso Achterberg +2 more
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Planning for tomorrow: global cancer incidence and the role of prevention 2020–2070
Nature Reviews Clinical Oncology, 2021Isabelle Soerjomataram, Frank Bray
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Antibiofilm activity of host defence peptides: complexity provides opportunities
Nature Reviews Microbiology, 2021, Morgan A Alford, Evan F Haney
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