EuDML | Browse

Page 1

Displaying 1 – 6 of 6

New singular solutions of Protter's problem for the 3D wave equation.

Grammatikopoulos, M.K., Popivanov, N.I., Popov, T.P. (2004)

Abstract and Applied Analysis

Non holonomie dans un problème de diffraction

G. Lebeau (1979/1980)

Séminaire Équations aux dérivées partielles (Polytechnique)

Nonanalyticity of solutions to $\partial_{t} u = \partial ²_{x} u + u ²$

Grzegorz Łysik (2003)

Colloquium Mathematicae

It is proved that the solution to the initial value problem $\partial_{t} u = \partial ²_{x} u + u ²$ , u(0,x) = 1/(1+x²), does not belong to the Gevrey class $G^{s}$ in time for 0 ≤ s < 1. The proof is based on an estimation of a double sum of products of binomial coefficients.

Nonlinear Evolution Equations and Analyticity. I

Tosio Kato, Kyûya Masuda (1986)

Annales de l'I.H.P. Analyse non linéaire

Numerical calculation of singularities for Ginzburg-Landau functionals.

Neuberger, J.W., Renka, R.J. (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Numerical studies of groundwater flow problems with a singularity

Hokr, Milan, Balvín, Aleš (2017)

Programs and Algorithms of Numerical Mathematics

The paper studies mesh dependent numerical solution of groundwater problems with singularities, caused by boreholes represented as points, instead of a real radius. We show on examples, that the numerical solution of the borehole pumping problem with point source (singularity) can be related to the exact solution of a regular problem with adapted geometry of a finite borehole radius. The radius providing the fit is roughly proportional to the mesh step. Next we define a problem of fracture-rock...