Description of the PDE $u_{xixi}=a^2u_{yy}-u_{xi}$












1












$begingroup$


I have the following PDE:



$$frac{partial^2u}{partialxi^2}=a^2frac{partial^2u}{partial y^2}-frac{partial u}{partialxi}$$



First of all, this is a PDE, right? And after that is nonlinear and is it homogeneous?










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$endgroup$












  • $begingroup$
    It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
    $endgroup$
    – Jon
    Dec 14 '18 at 7:03










  • $begingroup$
    @Jon And is it homogeneous?
    $endgroup$
    – carlosremove
    Dec 14 '18 at 7:11










  • $begingroup$
    Yes, it is homogeneous
    $endgroup$
    – Shubham Johri
    Dec 14 '18 at 7:36
















1












$begingroup$


I have the following PDE:



$$frac{partial^2u}{partialxi^2}=a^2frac{partial^2u}{partial y^2}-frac{partial u}{partialxi}$$



First of all, this is a PDE, right? And after that is nonlinear and is it homogeneous?










share|cite|improve this question











$endgroup$












  • $begingroup$
    It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
    $endgroup$
    – Jon
    Dec 14 '18 at 7:03










  • $begingroup$
    @Jon And is it homogeneous?
    $endgroup$
    – carlosremove
    Dec 14 '18 at 7:11










  • $begingroup$
    Yes, it is homogeneous
    $endgroup$
    – Shubham Johri
    Dec 14 '18 at 7:36














1












1








1


1



$begingroup$


I have the following PDE:



$$frac{partial^2u}{partialxi^2}=a^2frac{partial^2u}{partial y^2}-frac{partial u}{partialxi}$$



First of all, this is a PDE, right? And after that is nonlinear and is it homogeneous?










share|cite|improve this question











$endgroup$




I have the following PDE:



$$frac{partial^2u}{partialxi^2}=a^2frac{partial^2u}{partial y^2}-frac{partial u}{partialxi}$$



First of all, this is a PDE, right? And after that is nonlinear and is it homogeneous?







pde terminology






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 14 '18 at 9:26









Harry49

6,98631238




6,98631238










asked Dec 14 '18 at 7:00









carlosremovecarlosremove

253




253












  • $begingroup$
    It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
    $endgroup$
    – Jon
    Dec 14 '18 at 7:03










  • $begingroup$
    @Jon And is it homogeneous?
    $endgroup$
    – carlosremove
    Dec 14 '18 at 7:11










  • $begingroup$
    Yes, it is homogeneous
    $endgroup$
    – Shubham Johri
    Dec 14 '18 at 7:36


















  • $begingroup$
    It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
    $endgroup$
    – Jon
    Dec 14 '18 at 7:03










  • $begingroup$
    @Jon And is it homogeneous?
    $endgroup$
    – carlosremove
    Dec 14 '18 at 7:11










  • $begingroup$
    Yes, it is homogeneous
    $endgroup$
    – Shubham Johri
    Dec 14 '18 at 7:36
















$begingroup$
It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
$endgroup$
– Jon
Dec 14 '18 at 7:03




$begingroup$
It is linear, it is written improperly as the symbol of partial derivative is missing and, yes, it is a pde.
$endgroup$
– Jon
Dec 14 '18 at 7:03












$begingroup$
@Jon And is it homogeneous?
$endgroup$
– carlosremove
Dec 14 '18 at 7:11




$begingroup$
@Jon And is it homogeneous?
$endgroup$
– carlosremove
Dec 14 '18 at 7:11












$begingroup$
Yes, it is homogeneous
$endgroup$
– Shubham Johri
Dec 14 '18 at 7:36




$begingroup$
Yes, it is homogeneous
$endgroup$
– Shubham Johri
Dec 14 '18 at 7:36










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