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Linear and Quasilinear First-order Equations - The Method Of Characteristic Curves. Wave Equation With Constant Coefficients, The Non-homogeneous Equation, The Mixed Problem, Solution Using Fourier Series, Characteristics For Quasilinear Equations in Two Variables, Classification of Second-order Equations and Canonical Forms, The Cauchykovalevskaya Theorem (without Proof),the Hans Lewy Example (without Proof). Harmonic Functions# Mean Value Property and Maximum Principle, Green's Function, Poisson's Kernel, Dirichlet Problem Solution Using The Perron Method. The Fundamental Solution of The Heat Equation, The Initial Value Problem in The Whole Space, Weak Maximum Principle, Uniqueness of Bounded Solution For The Initial Value Problem in The Whole Space, The Mixed Problem On an Infinite Strip. Wave Equation in N Dimensions# The Method of Spherical Means, Solution in 3 Dimensions, Solution in 2 Dimensions

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104285 - Ordinary Differential Equations A and 104295 - Infinitesimal Calculus 3)

Course with no extra credit

104223 - Partial Differen.equa.and Fourier Series

Course with no extra credit (contained)

104213 104216 104218 - Partial Differential Equations/h 104219 104220 - Partial Differential Equations/t 104228 - Partial Differential Equations/m

• A first course in partial differential equations with complex variables and transform methods - Weinberger, Hans F.
• A first course in partial differential equations with complex variables and transform methods. - Weinberger, Hans F.
• An introduction to partial differential equations - Pinchover, Yehuda
• Elliptic partial differential equations of second order - Gilbarg, David
• Elliptic Partial Differential Equations of Second Order - Gilbarg, David.
• Elliptic Partial Differential Equations of Second Order - Gilbarg, David.
• Methods of mathematical physics - Courant, Richard
• Methods of mathematical physics - Courant, Richard
• Methods of mathematical physics : Vol. 1 [electronic resource] - Courant, Richard
• Methods of mathematical physics : Vol. 2 [electronic resource] : Partial differential equations - Courant, Richard
• Methods of mathematical physics. Volume II, Partial differential equations - Courant, Richard,
• Methods of mathematical physics. Volume one
• Partial differential equations - Evans, Lawrence C.,
• Partial differential equations - John, Fritz
• Partial Differential Equations - John, Fritz.
• Partial differential equations of applied mathematics - Zauderer, Erich
• Partial differential equations of applied mathematics - Zauderer, Erich
• Partial differential equations of applied mathematics - Zauderer, Erich,
• Partial differential equations. - John, Fritz
• Partial differential equations. - John, Fritz
• Partial differential equations. - John, Fritz
• מבוא למשוואות דיפרנציאליות חלקיות - פינצ'ובר, יהודה
• מבוא למשוואות דיפרנציאליות חלקיות - פינצ'ובר, יהודה