A class of nonlinear parabolic equations with variable exponents and noncoercive term is investigated in this paper. With the help of truncation method and the monotone operator theory, the existence of renormalized solutions, as well as the Marcinkiewicz estimate, is proved in the framework of variable exponents.
机构:
Bashkir State Univ, Sterlitamak Branch, Sterlitamak, Russia
Kazan Volga Reg Fed Univ, Elabuga Branch, Yelabuga, RussiaBashkir State Univ, Sterlitamak Branch, Sterlitamak, Russia
机构:
Bashkir State Univ, Sterlitamak Branch, Sterlitamak, Russia
Kazan Volga Reg Fed Univ, Elabuga Branch, Yelabuga, RussiaBashkir State Univ, Sterlitamak Branch, Sterlitamak, Russia
机构:
Univ Sidi Mohammed Ben Abdellah, Dept Math, Lab LAMA, Fac Sci Dhar Mahrez, BP 1796, Atlas Fes, MoroccoUniv Sidi Mohammed Ben Abdellah, Dept Math, Lab LAMA, Fac Sci Dhar Mahrez, BP 1796, Atlas Fes, Morocco
El Hamdaoui, B.
Bennouna, J.
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Univ Sidi Mohammed Ben Abdellah, Dept Math, Lab LAMA, Fac Sci Dhar Mahrez, BP 1796, Atlas Fes, MoroccoUniv Sidi Mohammed Ben Abdellah, Dept Math, Lab LAMA, Fac Sci Dhar Mahrez, BP 1796, Atlas Fes, Morocco
Bennouna, J.
Aberqi, A.
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Univ Sidi Mohammed Ben Abdellah, Natl Sch Appl Sci, LISA, Fes, MoroccoUniv Sidi Mohammed Ben Abdellah, Dept Math, Lab LAMA, Fac Sci Dhar Mahrez, BP 1796, Atlas Fes, Morocco