The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity

DOI10.3103/S1066369X18110063zbMath1411.35014OpenAlexW2903559669WikidataQ128869493 ScholiaQ128869493MaRDI QIDQ1735121

Xianqiang Yang

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.3103/s1066369x18110063

zbMATH Keywords

system of Oskolkov equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Nonlinear evolution equations (47J35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Operator equations of the second kind: theorems on the existence and uniqueness of the solution and on the preservation of solvability ⋮ On the existence of optimal control in the problem of optimizing the lowest coefficient of a semilinear evolutionary equation ⋮ On preservation of global solvability of controlled second kind operator equation ⋮ On totally global solvability of controlled second kind operator equation

Cites Work

• A majorant criterion for the total preservation of global solvability of controlled functional operator equation
• On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator
• A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
• Dynamic capillary effects in heterogeneous porous media
• On a theory of heat conduction involving two temperature
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Mathematical model of the non equilibrium water oil displacement in porous strata
• Model equations for long waves in nonlinear dispersive systems
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