On a boundary value problem for the heat equation
On a heat potential
Non-tangential limits of the double layer potentials
A note on a heat potential and the parabolic variation
Flows of heat and time moving boundary
Third boundary value problem for the heat equation. II.
Third boundary value problem for the heat equation. I.
Poznámka o lineární míře Vituškinových množin
On the continuity of heat potentials
The heat and adjoint heat potentials
On a heat potential (Preliminary communication)
A heat approximation
The Fourier problem on planar domains with time variable boundary is considered using integral equations. A simple numerical method for the integral equation is described and the convergence of the method is proved. It is shown how to approximate the solution of the Fourier problem and how to estimate the error. A numerical example is given.
Sets of removable singularities of an equation
A note on the parabolic variation
A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is -Holder. Further, some simple concrete examples are examined.
Fourier problem with bounded Baire data
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.
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