Solutions with exponential singularity for (3 + 1)-D Protter problems

Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Wave equation (35L05) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21)

Cites Work

On the existence and uniqueness of a generalized solution of the Protter problem for $(3+1)$-D Keldysh-type equations
Exact asymptotic expansion of singular solutions for the $(2 + 1)$-D Protter problem
Protter-Morawetz multidimensional problems
Semi-Fredholm solvability in the framework of singular solutions for the (3+1)-D Protter-Morawetz problem
New singular solutions of Protter's problem for the 3D wave equation
Singular solutions to a (3 + 1)-D Protter-Morawetz problem for Keldysh-type equations
The Goursat and Darboux problems for the three-dimensional wave equation
On M. H. Protter problems for the wave equation in $\mathbb{R}^ 3$
Uniqueness of the solution of the Tricomi-type problem for multidimensional hyperbolic-parabolic equation
On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type
A weak solution for a system of equations of elliptic-hyperbolic type
Local boundary conditions for dissipative symmetric linear differential operators
Frankl–Morawetz Problem in $\mathbb{R}^3 $
Singular solutions of protter's problem for the 3 + 1;-D wave equation
MIXED EQUATIONS AND TRANSONIC FLOW
A MIXED EQUATION OF TRICOMI–KELDYSH TYPE
ON THE CONJUGATE DARBOUX-PROTTER PROBLEMS FOR THE TWO DIMENSIONAL WAVE EQUATIONS IN THE SPECIAL CASE
Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations
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