Geodesic
Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 192-209

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The first initial–boundary value problem is considered for a class of anisotropic parabolic equations with variable nonlinearity exponents and a diffuse measure on the right-hand side in a cylindrical domain $(0,T)\times \Omega $. The domain $\Omega $ is bounded. The existence of a renormalized solution is proved.
Mots-clés : anisotropic parabolic equation, existence of a solution.
Keywords: diffuse measure, renormalized solution, variable nonlinearity exponents 
@article{TM_2019_306_a15,
     author = {F. Kh. Mukminov},
     title = {Existence of a {Renormalized} {Solution} to an {Anisotropic} {Parabolic} {Problem} for an {Equation} with {Diffuse} {Measure}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {192--209},
     publisher = {mathdoc},
     volume = {306},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_306_a15/}
}
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F. Kh. Mukminov. Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 192-209. http://geodesic.mathdoc.fr/item/TM_2019_306_a15/