PDE Book For Self Study

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I am a senior high school student from Turkey, I would like to buy a PDE textbook for self-study, as I want to pursue a career in pure mathematics so I would like a textbook that is proof intensive and rigorous instead of one focused an applications and numerical algorithms. My prequistes include baby rudin, birkhoff Ordinary differential equations, conway complex analysis, ahlfors complex analysis, Rudin real and complex analysis, munkres topology, first half of functional analysis by conway and spivak calculus on manifolds . Thanks in advance.