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1

1

$begingroup$

Suppose we have the Boundary Value Problem (BVP):

$Deltau=f$ , in the domain (topos) $D$

$partial_nu=h$, in $partialD$

It is easy to prove using $1$st Green's identity that a necessary condition for the above mentioned BVP is $int_partialDh=int_Df$ . But how about the sufficient case here ? Is also this condition enough in order the BVP to have a solution. Any hint or ref is really appreciated.

pde boundary-value-problem

share|cite|improve this question

asked Mar 11 at 8:09

dmtridmtri

1,6172521

$endgroup$

add a comment | 

1

1

$begingroup$

Suppose we have the Boundary Value Problem (BVP):

$Deltau=f$ , in the domain (topos) $D$

$partial_nu=h$, in $partialD$

It is easy to prove using $1$st Green's identity that a necessary condition for the above mentioned BVP is $int_partialDh=int_Df$ . But how about the sufficient case here ? Is also this condition enough in order the BVP to have a solution. Any hint or ref is really appreciated.

pde boundary-value-problem

share|cite|improve this question

asked Mar 11 at 8:09

dmtridmtri

1,6172521

$endgroup$

add a comment | 

$begingroup$

Suppose we have the Boundary Value Problem (BVP):

$Deltau=f$ , in the domain (topos) $D$

$partial_nu=h$, in $partialD$

It is easy to prove using $1$st Green's identity that a necessary condition for the above mentioned BVP is $int_partialDh=int_Df$ . But how about the sufficient case here ? Is also this condition enough in order the BVP to have a solution. Any hint or ref is really appreciated.

pde boundary-value-problem

share|cite|improve this question

asked Mar 11 at 8:09

dmtridmtri

1,6172521

$endgroup$

share|cite|improve this question

asked Mar 11 at 8:09

dmtridmtri

1,6172521

share|cite|improve this question

asked Mar 11 at 8:09

dmtridmtri

1,6172521

asked Mar 11 at 8:09

dmtridmtri

1,6172521

asked Mar 11 at 8:09

dmtridmtri

1,6172521