global results on some nonlinear partial differential equations for direct and inverse problems
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه شیراز - دانشکده علوم پایه
- author محمد شهروزی
- adviser فرامرز تهمتنی
- publication year 1392
abstract
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسری جواب ها، انفجار و یا افت جواب ها باشند .
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document type: thesis
وزارت علوم، تحقیقات و فناوری - دانشگاه شیراز - دانشکده علوم پایه
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