second order pde -- on invariant?

sigh1342

What the meaning for a second order pde is rotation invariant?
Is all second order pde are rotation invariant? or only laplacian?

Simon Bridge

Well, do you know what "rotation invarient" means to start with?
It sounds like you've come across the terms as part of a course involving laplacians - in which case, you were shown a proof somewhere that the laplacian is rotation invarient. What was the condition the laplacian had to satisfy for the proof to work? Do all 2ndO PDEs satisfy this condition?

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sigh1342	second order pde -- on invariant? What the meaning for a second order pde is rotation invariant? Is all second order pde are rotation invariant? or only laplacian?

Simon Bridge Recognitions: Homework Help	Well, do you know what "rotation invarient" means to start with? It sounds like you've come across the terms as part of a course involving laplacians - in which case, you were shown a proof somewhere that the laplacian is rotation invarient. What was the condition the laplacian had to satisfy for the proof to work? Do all 2ndO PDEs satisfy this condition?