On the existence and uniqueness of a generalized solution of the Protter problem for \((3+1)\)-D Keldysh-type equations

DOI10.1186/s13661-017-0757-1zbMath1364.35067OpenAlexW2587842269WikidataQ59529612 ScholiaQ59529612MaRDI QIDQ518375

Aleksey Nikolov, Tsvetan Hristov, Nedyu Iv. Popivanov, Manfred Friedrich Schneider

Publication date: 28 March 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0757-1

zbMATH Keywords

boundary value problemsweakly hyperbolic equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (9)

Nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term ⋮ Asymptotics to all orders of the Euler-Darboux equation in a triangle ⋮ Volterra property of an problem of the Frankl type for an parabolic–hyperbolic equation ⋮ Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation ⋮ Solutions with exponential singularity for (3 + 1)-D Protter problems ⋮ Singular solutions to a (3 + 1)-D Protter-Morawetz problem for Keldysh-type equations ⋮ On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type ⋮ New representation formula for the solution of a Darboux-Goursat problem ⋮ Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations

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