Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with Hölder continuous coefficients

Alejandro J. Castro, Salvador Rodríguez-López, Wolfgang Staubach

We establish the $L^2$-solvability of Dirichlet, Neumann and regularity problems for divergence-form heat (or diffusion) equations with Hölder-continuous diffusion coefficients, on…