On a Linear Inverse Problem for a Multidimensional Mixed-Type Equation
С. З. ДжамаловRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100041, UzbekistanRavshan AshurovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100041, Uzbekistan
ABI
Аннотация
We study the well-posedness of a linear inverse problem for a multidimensional mixed-type equation including the classical equations of elliptic, hyperbolic, and parabolic types as special cases. For this problem, using the “ε-regularization,” a priori estimate, and successive approximationmethods, we prove the existence and uniqueness theorems for the solution in some function class.
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