Logarithmic singularities of solutions to nonlinear partial differential equations

Search this article


We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T. Kobayashi. The leading term of a solution in our family contains a logarithm, possibly multiplied by a monomial. As an application, we study nonlinear wave equations with quadratic nonlinearities. The proof is done by the reduction to a Fuchsian equation with singular coefficients.


Citations (2)*help

See more


See more

Related Projects

See more

Details 詳細情報について

Report a problem

Back to top