Existence of renormalized solutions is shown for nonlinear parabolic equations with variable exponents and a Carathéodory lower order term satisfying a specific growth bound, without requiring coercivity.
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Renormalized Solutions for a Class of Nonlinear Parabolic Equation with a Lower Order Term and Variable Exponents
Existence of renormalized solutions is shown for nonlinear parabolic equations with variable exponents and a Carathéodory lower order term satisfying a specific growth bound, without requiring coercivity.