We propose local space-time approximation spaces for parabolic problems that are optimal
in the sense of Kolmogorov and may be employed in multiscale and domain decomposition …

We study existence of nonnegative solutions to a nonlinear parabolic boundary value
problem with a general singular lower order term and a nonnegative measure as …

In this memoir, we study the existence and regularity of the quasilinear parabolic
equations:\begin {equation*} u_t-\operatorname {div}(A (x, t,\nabla u))= B (u,\nabla …

Marcinkiewicz estimates for degenerate parabolic equations with measure data -
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Under various conditions on the data we analyze how the appearance of lower order terms
affects the gradient estimates on solutions to a general nonlinear elliptic equation of the form …

We study existence and uniqueness results for nonlinear parabolic equations with possibly
singular lower order term and nonregular datum of the the following form (P) ut-Δ pu= H (u) μ …

We propose local space-time approximation spaces for parabolic problems that are optimal
in the sense of Kolmogorov and may be employed in multiscale and domain decomposition …

We consider solutions to singular parabolic equations with measurable dependence on the
(x, t) variables and having on the right-hand side a measure satisfying a density condition …

In this paper, we prove the optimal generalized Morrey estimates for the spatial gradient of
the solutions obtained by limits of approximations (SOLA) for a class of parabolic problems …

We consider measure data problems of p-Laplacian type. The measure on the right-hand
side has the property that the total variation of a generic ball decays in terms of generic …