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Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.03.015
Abstract: In this paper, we obtain weighted norm inequalities for the spatial gradients of weak solutions to quasilinear parabolic equations with weights in the Muckenhoupt class $A_{\frac{q}{p}}(\mathbb{R}^{n+1})$ for $q\geq p$ on non-smooth domains. Here the quasilinear…
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Keywords:
gradient weighted;
natural exponent;
estimates natural;
quasilinear parabolic ... See more keywords
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Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.03.024
Abstract: Abstract Fourier integral operators play an important role in applications to partial differential equations. The main purpose of this paper is to investigate the weighted L p boundedness of the bi-parameter Fourier integral operators (or…
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Keywords:
weighted estimates;
estimates rough;
parameter fourier;
integral operators ... See more keywords
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Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446619020095
Abstract: We establish the criteria of validity of some integral weighted inequalities for a class of quasilinear integral operators.
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Keywords:
integral operators;
estimates class;
weighted estimates;
quasilinear integral ... See more keywords