A linear inverse problem for a multidimensional mixed-type second-order equation of the first-kind

DOI10.3103/S1066369X19060021zbMath1427.35354OpenAlexW2967352510MaRDI QIDQ2281453

Ravshan Ashurov, S. Z. Dzhamalov

Publication date: 19 December 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19060021

zbMATH Keywords

a priori estimatesuccessive approximationlinear inverse problem\( \epsilon \)-regularization methodscorrectness of solutionmultidimensional mixed-type second-order equation of first kind

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Inverse problems for PDEs (35R30)

Related Items (12)

The linear inverse problem for the three-dimensional Tricomi equation in a prismatic unbounded domain ⋮ Nonlinear inverse problem for a sixth order differential equation with two redefinition functions ⋮ Inverse problem for mixed-type equation with an elliptic operator of arbitrary order ⋮ Inverse problem for Whitham type multi-dimensional differential equation with impulse effects ⋮ Inverse problems for the loaded parabolic-hyperbolic equation involves Riemann-Liouville operator ⋮ ON NUMERICAL SOLVING AN INVERSE PROBLEM FOR A MIXED PARABOLIC–HYPERBOLIC TYPE EQUATION OF FINDING THE RIGHT–HAND SIDE ⋮ Linear inverse problem for 3-dimensional Chaplygin equation with semi-nonlocal boundary conditions in a prismatic unbounded domain ⋮ On unique solvability of a nonlocal boundary-value problem for a loaded multidimensional Chaplygin's equation in the Sobolev space ⋮ Unnamed Item ⋮ On a seminonlocal boundary value problem for a multidimensional loaded mixed type equation of the second kind ⋮ Inverse problem for determining the order of the fractional derivative in mixed-type equations ⋮ Integral condition with nonlinear kernel for an impulsive system of differential equations with maxima and redefinition vector

Cites Work

• The inverse problem for the Lavrent'ev-Bitsadze equation connected with the search of elements in the right-hand side
• Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition
• THE LINEAR INVERSE PROBLEM FOR THE MIXED TYPE EQUATION OF THE SECOND KIND OF THE SECOND ORDER WITH NONLOCAL BOUNDARY CONDITIONS IN THREE-DIMENSIONAL SPACE
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