Abstract:
We consider a mixed boundary value problem in a quarter-plane for a pseudohyperbolic
equation and assume that the Lopatinskiĭ condition is satisfied. We find conditions on the right-hand side of the equation that guarantee existence of solutions of this problem in Sobolev spaces
with exponential weight.
Key words:Sobolev type equation, pseudohyperbbolic equation, boundary value problem, anisotropic Sobolev space.
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