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First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Heinz Toparkus (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate initial...

Fundamental solution $E_{n}$ of the operator $\partial^{2} / \partial t^{2} - Δ_{n}$ for n>3

Zofia Szmydt, Bogdan Ziemian (1979)

Annales Polonici Mathematici

Fundamental solution for operators preserving a quadratic form

Zofia Szmydt, Bogdan Ziemian (1983)

Annales Polonici Mathematici

Fundamental solutions of the differential operator ${(- 1)}^{n} D_{1}^{n} D_{2}^{n} + a {(i D_{1})}^{n} + b {(i D^{2})}_{n} + c$

Věra Radochová (1980)

Časopis pro pěstování matematiky

Fundamentallösungen von homogenen Differentialoperatoren [Book]

Martin Galler (1989)

Displaying 1 – 5 of 5

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Fundamental solution E n of the operator ∂ 2 / ∂ t 2 - Δ n for n>3

Fundamental solution for operators preserving a quadratic form

Fundamental solutions of the differential operator ( - 1 ) n D 1 n D 2 n + a ( i D 1 ) n + b ( i D 2 ) n + c

Fundamentallösungen von homogenen Differentialoperatoren [Book]

Currently displaying 1 – 5 of 5

Fundamental solution $E_{n}$ of the operator $\partial^{2} / \partial t^{2} - Δ_{n}$ for n>3

Fundamental solutions of the differential operator ${(- 1)}^{n} D_{1}^{n} D_{2}^{n} + a {(i D_{1})}^{n} + b {(i D^{2})}_{n} + c$