In this note we give existence results for the generalized Tricomi equations Ru′ ′+ Bu= f and (Ru′)′+Bu=f with suitable boundary data where R may be an operator (or a function) depending also on time assuming positive, null and negative sign, while B is an elliptic operator. To do that we also extend a result for equations like (Ru′)′+Au′+Bu=f to equations like Ru′ ′+ Au′+ Bu= f and use these to derive the existence for the generalised Tricomi type equations mentioned above.
Two generalized Tricomi equations
Paronetto F.
2021
Abstract
In this note we give existence results for the generalized Tricomi equations Ru′ ′+ Bu= f and (Ru′)′+Bu=f with suitable boundary data where R may be an operator (or a function) depending also on time assuming positive, null and negative sign, while B is an elliptic operator. To do that we also extend a result for equations like (Ru′)′+Au′+Bu=f to equations like Ru′ ′+ Au′+ Bu= f and use these to derive the existence for the generalised Tricomi type equations mentioned above.File in questo prodotto:
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