scholarly journals Local asymptotics for nonlocal convective Cahn-Hilliard equations with W1,1 kernel and singular potential

2021 ◽  
Vol 289 ◽  
pp. 35-58
Author(s):  
Elisa Davoli ◽  
Luca Scarpa ◽  
Lara Trussardi
Keyword(s):  
Singular Potential ◽  
Local Asymptotics

Local Asymptotics of Unfoldings of Edge and Corner Catastrophes

2020 ◽  
Vol 27 (4) ◽  
pp. 446-455
Author(s):  
J. I. Bova ◽  
A. S. Kryukovskii ◽  
D. S. Lukin
Keyword(s):  
Local Asymptotics

scholarly journals On Scattering and Bound States for a Singular Potential

1970 ◽  
Vol 43 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Erasmo Ferreira ◽  
Javier Sesma ◽  
Pedro L. Torres
Keyword(s):  
Bound States ◽  
Singular Potential

Heat equation with singular potential and singular data

2005 ◽  
Vol 135 (4) ◽  
pp. 863-886 ◽  
Author(s):  
M. Nedeljkov ◽  
S. Pilipović ◽  
D. Rajter-Ćirić
Keyword(s):  
Polynomial Growth ◽  
Singular Potential ◽  
Function Algebra ◽  
Energy Estimates ◽  
Generalized Function ◽  
Type Condition ◽  
Classical Energy ◽  
The Cauchy Problem ◽  
White Noise Calculus ◽  
Singular Data

Nets of Schrödinger C0-semigroups (Sε)ε with the polynomial growth with respect to ε are used for solving the Cauchy problem (∂t − Δ)U + VU = f(t, U), U(0, x) = U0(x) in a suitable generalized function algebra (or space), where V and U0 are singular generalized functions while f satisfies a Lipschitz-type condition. The existence of distribution solutions is proved in appropriate cases by the means of white noise calculus as well as classical energy estimates.

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