Poisson bracket on 1-forms and evolutionary partial differential equations
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
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 سراسر...
Classification of Partial Differential Equations and Canonical Forms
where the coefficients A, B, and C are functions of x and y and do not vanish simultaneously, because in that case the second-order PDE degenerates to one of first order. Further, the coefficients D, E, and F are also assumed to be functions of x and y. We shall assume that the function u(x,y) and the coefficients are twice continuously differentiable in some domain Ω. The classification of sec...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2012
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/45/47/475208