Study proves existence of solutions in varying exponent settings, indicating novel approaches for complex equations.
The purpose of this study is to prove the existence of both entropy solutions and renormalized solutions for nonlinear parabolic equations with initial data in L∞ and degenerate coercivity. The functional setting involves Lebesgue and Sobolev spaces with variable exponents.
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Rabah Mecheter (2025) studied this question.
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