New gradient estimates for parabolic equations

• Autores: Paolo Baroni
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 38, Nº 3, 2012, págs. 855-914
• Idioma: inglés
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• Resumen

  • We prove sharp Lorentz- and Morrey-space estimates for the gradient of solutions to non homogeneous nonlinear parabolic equations, where the vector field is assumed to satisfy classical growth and ellipticity conditions and where the inhomogeneity is only assumed to be integrable to the some power larger than 1. In particular we investigate the case where the integrability exponent stays below the duality exponent.