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Singular Perturbation Solutions of Noisy Systems

SIAM Journal on Applied Mathematics, 1995
Summary: Recent work on singular perturbation solutions that persist in the presence of noise is described. Two different settings are considered: small deviation theory in quasi-static problems, where there are small amplitude but highly irregular perturbations, and averaging problems where there are ergodic stochastic perturbations. In the first case,
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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS

Reviews in Mathematical Physics, 1992
Local and global regularity properties of weak solutions of the Schrödinger equation −Δu+qu=λu play an important role in the spectral theory of the corresponding operator [Formula: see text]. Central among these properties is local boundedness of the solutions u, which is derived in an elementary way for potentials q whose negative parts q− lie in the
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Singular Perturbation Solutions of a Class of Systems of Singular Integral Equations

SIAM Journal on Applied Mathematics, 2001
The authors examine a new class of systems of strongly singular integrodifferential equations which emerges in the study of the bridged interface crack growth.
Luqun Ni, Sia Nemat-Nasser
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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Singular solutions for the constant Q-curvature problem

Journal of Functional Analysis, 2021
Ali Hyder, Yannick Sire
exaly  

Positive solutions for singular double phase problems

Journal of Mathematical Analysis and Applications, 2021
Calogero Vetro   +2 more
exaly  

Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity

Nonlinear Analysis: Theory, Methods & Applications, 2014
Lourdes Moreno Merida, David Arcoya
exaly  

Burgers hierarchy: Multiple kink solutions and multiple singular kink solutions

Journal of the Franklin Institute, 2010
Abdul-Majid Wazwaz
exaly  

The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations

Nonlinear Analysis: Real World Applications, 2019
Lijun Zhang   +2 more
exaly  

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