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Focusing on analytic inequalities, this work explores their applications in partial differential equations, including integral, differential, and difference inequalities. These inequalities are essential for establishing uniform bounds, global existence, and decay rates of solutions to various evolutionary differential equations. The book synthesizes findings from extensive literature, including papers and books, categorizing the inequalities based on their properties and highlighting their significance in mathematical analysis.
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Analytic Inequalities and Their Applications in PDEs, Yuming Qin
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- 2017
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