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This subtopic studies generalized solutions of PDEs, where weak, distributional, or variational formulations extend classical solution concepts.
35D30 studies weak solutions to pdes in generalized solutions of PDE. It studies weak, distributional, and variational notions of solution when classical derivatives are unavailable.
Generalized Solutions Of Pde (Wikipedia)
Used to make PDE solvable in low-regularity contexts and to develop variational methods.
35D35 studies strong solutions to pdes in generalized solutions of PDE. It studies weak, distributional, and variational notions of solution when classical derivatives are unavailable.
Generalized Solutions Of Pde (Wikipedia)
Used to make PDE solvable in low-regularity contexts and to develop variational methods.
35D40 studies viscosity solutions to pdes in generalized solutions of PDE. It studies weak, distributional, and variational notions of solution when classical derivatives are unavailable.
Generalized Solutions Of Pde (Wikipedia)
Used to make PDE solvable in low-regularity contexts and to develop variational methods.