A priori estimates in weighted spaces for solutions of the Poisson and heat equations
Applicationes Mathematicae 34 (2007), 431-444 MSC: 35J05, 35B45. DOI: 10.4064/am34-4-6
We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.