Nonexistence for mixed-type equations with critical exponent nonlinearity in a ball

DOI10.1016/J.AML.2010.12.005zbMath1213.35317OpenAlexW2068482526MaRDI QIDQ628265

Chuangye Liu, Cheng-Jun He

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.005

zbMATH Keywords

nonexistenceconservation lawmixed typePohozaev-type identities

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Boundary value problems for PDEs of mixed type (35M12)

Related Items (1)

Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral bounds for Tricomi problems and application to semilinear existence and existence with uniqueness results
• Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations
• Nonlocal boundary value problem for an equation of the mixed type with two degeneration lines
• Semigroups of linear operators and applications to partial differential equations
• The Tricomi problem for a mixed type equation with two orthogonal degeneration lines
• Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types
• A problem for a mixed-type equation of the second kind
• Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
• Dirichlet problem for mixed-type equations in a rectangular domain
• Critical exponents for semilinear equations of mixed elliptic‐hyperbolic and degenerate types
• The Dirichlet problem for a mixed-type equation in a rectangular domain

This page was built for publication: Nonexistence for mixed-type equations with critical exponent nonlinearity in a ball