Entropy and renormalized solutions for some parabolic problems with variable exponents and degenerate coercivity

Key Points

• The study aims to demonstrate the existence of entropy and renormalized solutions for specific nonlinear parabolic equations.
• Analysis within Lebesgue and Sobolev spaces with variable exponents.
• Focus on initial data in L∞ and conditions of degenerate coercivity.
• Confirmed existence of entropy solutions for the examined equations.
• Established renormalized solutions under the set conditions.